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Yang heads Nygren cross in at the back post off defender before Scales scores moments later
Tounekti smashes a brilliant low effort under Budinauckas quickly after restart; McCowan slots in fourth with 10 to play
Final Premier Sports Cup quarter-final
Semi-final draw: Motherwell v St Mirren & Celtic v Rangers on weekend of 1/2 November
FT: Partick Thistle 0-4 Celtic
That's all for today, folks.
Celtic enjoyed a comfortable win at Firhill, with Yang, Scales, Tounekti and McCowan on target.
Celtic will meet Rangers in the Premier Sports Cup semi-finals, with Motherwell and St Mirren going head-to-head in the other Hampden tie.
FT: Partick Thistle 0-4 Celtic
Image source, SNSPartick Thistle manager Mark Wilson tells BBC Scotland: "Disappointed in the final result but a lot of people would have expected that. A lot to learn from it when you come up against that level of opposition.
"Disappointed to lose the goals in the fashion we did, I thought they were poor, and the timings as well.
"We sat in too deep at times. I wanted us to be brave and put Celtic under more pressure but the tide was going one way.
"A team like Celtic will play through you but I was pleased at the players reaction in the second half and how they stuck at it.
"I was always taking this game in isolation as we're never going to come up against opposition like this in our league. We'll stick to our process and hopefully we'll see the fruits of that in the Championship.
"It's been a long time since Firhill has been packed like that and it means so much to the club."
FT: Partick Thistle 0-4 Celtic
Celtic boss Brendan Rodgers tells BBC Scotland: "I was really pleased with the performance and the result.
"You have to be really professional and we were. The players passed it well and created some really good moments in the game.
"We're building. It's hard to go through nine months in the season being hot. With everything going on in the window it's taken some time for players to come in. I can see the fluency and the rhythm of the team growing each day."
On Sebastian Tounekti: "He's the type of player that Celtic supporters love. He's good on one-v-one. He can go either side, run in behind without the ball and he works very hard. It was nice for him get the goal and I'm really pleased for him.
"He's what we want and that was the pleasing aspect today. We had variety in our performance and how we attacked the game."
Celtic face Rangers in the semi-final: "Our objective is to get to the final. Both teams will be giving everything to get through but there's a lot of football before that."
On Europe: "We're feeling good. Jahmai Simpson-Pusey and Johnny Kenny are not in the squad and working hard every day but they'll get their moments. The squad is building in our performance each day in training and we're taking that into our games."
Image source, SNSBrendan Rodgers with Luke McCowan, who scored Celtic's fourth
FT: Partick Thistle 0-4 Celtic
Ian McCall
Former Partick Thistle manager on BBC Sportsound
A lot of the time, when Celtic play Rangers in the semis, people say it's 'the final before the final'.
On this occasion, after what happened between Aberdeen and Celtic in the Scottish Cup final, it's certainly not that.
Whoever wins between Motherwell and St Mirren, they're capable of going to Hampden and causing an upset.
What about those semi-finals then?
St Mirren and Motherwell drew 0-0 in Paisley on 9 August, while it was also goalless between Rangers and Celtic on 31 August.
The Old Firm derby was a real stinker.
Surely we will get much better fare at Hampden in early November.
FT: Partick Thistle 0-4 Celtic
Player of the match Sebastian Tounekti tells Premier Sports: "I would like to contribute with goals and assists - it was a good start today.
"I'm happy about that and hopefully I can make more in the future. It's good to get going."
Kieran Tierney was full of praise for his new team-mate, saying: "It feels like he's been here ages.
"The debut at Killie was unbelievable - that's a tough place to go and you see how well he's settled in.
"It's credit to him and how he's adapted. It's the first time I've started with him and it was a joy to play with him."
FT: Partick Thistle 0-4 Celtic
Pat Bonner
Former Celtic goalkeeper on BBC Radio Scotland
The interesting thing for me is Tierney's relationship with Tounetki. I think Tierney wants to be wide and high.
When you have a winger ahead of you, you can't occupy that space too often. We've seen Tounetki wants to get the ball every single time and to take people on.
That means Tierney can overlap, he can link in and support him.
MOTHERWELL v ST MIRREN
CELTIC v RANGERS
The ties will be played at Hampden on weekend of 1/2 November.
Image source, SNSFT: Partick Thistle 0-4 Celtic
This shouldn't take long.
Former Motherwell skipper Stephen Craigan is pulling the balls out of the tombola.
FT: Partick Thistle 0-4 Celtic
Pat Bonner
Former Celtic goalkeeper on BBC Radio Scotland
Goals, key players on the pitch. Brendan Rodgers will be very, very pleased.
He'll be very pleased with the performance of his new winger, Tounetki, on the left. Very creative, got his goal. He showed very good touches.
Belgrade will be a tough game. They'll have to be at their best to bring back a result.
Rodgers was able to make changes and that should help them.
FT: Partick Thistle 0-4 Celtic
Partick Thistle are back in Championship business next Saturday with a trip to Dunfermline.
Celtic need to go again on Wednesday as they start their Europa League campaign away to Red Star Belgrade.
FT: Partick Thistle 0-4 Celtic
Really hope Celtic avoid the hard ties against St Mirren and Motherwell in the next round.
Chris
It would be nice if a small team gets to the final. Fingers crossed for a Celtic v Rangers semi-final.
Albert
FT: Partick Thistle 0-4 Celtic
Martin Dowden
BBC Sport Scotland at Firhill
No surprises at Firhill. Celtic played well and that was always going to deliver one outcome. The final score seems fair and the cup holders are off to Hampden once again.
Partick Thistle hung in there and can console themselves with a great experience in front of a big crowd which will do wonders for club finances.
Celtic stroll into the semi-finals of the Premier Sports Cup.
Image source, SNSPartick Thistle 0-4 Celtic
Arne Engels runs on to a pass inside the Thistle penalty area but there's very little room to work with as he shoots wide first time.
Partick Thistle 0-4 Celtic
Pat Bonner
Former Celtic goalkeeper on BBC Radio Scotland
It looks as if Kieran Tierney is going to play the full 90 minutes - another positive for Celtic.
Image source, SNSPartick Thistle 0-4 Celtic
Not so good from Michel-Ange Balikwisha this time as the Celtic sub spoons a terrible lob wide of a gaping goal.
Partick Thistle 0-4 Celtic
Ian McCall
Former Partick Thistle manager on BBC Sportsound
I hate to say it. The 4-0 score does seem harsh, but I'm afraid it isn't.
It's a fair enough reflection on what I've watched, unfortunately.
Partick Thistle 0-4 Celtic
Pat Bonner
Former Celtic goalkeeper on BBC Radio Scotland
We talked about Balikwisha's contribution. That time he went and closed down, and that's what Brendan Rodgers is looking for. He's not just admiring it.
As soon as Celtic won the ball, they were on top of the goal and it was a good finish.
Luke McCowan
Luke McBeth takes a terrible touch and is quickly robbed by Michel-Ange Balikwisha. That allows Luke McCowan to charge forward and crack a lovely, angled shot into the far corner of the net.
McCowan is all smiles as he signals for a home fan to keep quiet. Maybe the former Ayr United man was getting a bit of grief from the stands.
Image source, SNS
Celtic winger Sebastian Tounekti capped another impressive performance with his first goal for the club
At a glance
Hyunjun Yang and Liam Scales score in quick succession to put Celtic in a commanding lead
Sebastian Tounetki opens his Celtic account shortly after the restart
Substitute Luke McCowan slots home late on to kill off any doubt of holders' progression
Victory for Brendan Rodgers' side follows protests against the club's board and Peter Lawwell pre-match.
Celtic will face Rangers at Hampden on the weekend of 1/2 November.
Holders Celtic coasted into the Premier Sports Cup semi-finals and secured a date with Old Firm rivals Rangers thanks to a convincing victory over Partick Thistle at Firhill.
Away supporters once again showed their displeasure at the Celtic board pre-match and at half-time, with the vast majority holding pictures of chief executive Michael Nicholson and non-executive chairman Peter Lawwell that suggested they should depart the club.
On the pitch, though, Celtic looked more than harmonious as manager Brendan Rodgers chases a fifth trophy win in this competition across his two spells, and goals from Hyunjun Yang, Liam Scales, Sebastian Tounetki and substitute Luke McCowan potentially brought it closer.
Partick Thistle were initially resilient but with their opponents looking in the mood from the off, it felt a matter of time before the opener arrived.
It did when Benjamin Nygren floated a perfect cross to the far post to Yang who, at first, seemed to have blown a wonderful chance. It was an optical illusion as his close-range header found the corner of the net after looping off a Thistle defender.
Minutes later, Nygren then cut inside and smashed the ball but Lewis Budinauckas did well to divert for corner. The second goal followed from that with Scales' angled header to the top corner catching the Jags keeper out.
Chances for the home side were rare. Slackness from Cameron Carter-Vickers handed Ts'oanelo Lets'osa one before the break but Scales did superbly to block.
The third was a joy of a goal on the counter and came quick after half-time.
Reo Hatate did superbly to release Tounekti. He cut inside and looked like shooting but Iheanacho delivered a sublime one-two, and the Tunisian winger finished emphatically.
A fine goal showing the winger's end product and the recently-recruited striker's technical ability.
Ben Stanway came closest to a consolation with a header that Viljami Sinisalo comfortably diverted to safety, but a fourth arrived at the other end when Michel-Ange Balikwisha did well to win possession and fellow substitute McCowan finished impressively.
The outcome was never really in doubt as Celtic cruised to the win.
Brendan Rodgers stated in the build up that he is seeking better "rhythm".
That arrived in this contest. Celtic looked threatening with the tempo and threat way higher than some recent outings.
There were any number of positives with Iheanacho showing real quality at times in his link up. He was only denied a goal by a superb second half save.
Tounekti was the standout again during his hour on the pitch. Simply because he constantly wants the ball and is direct when he gets it.
It's what fans want to see, asks questions and gave Thistle defenders no end of problems. He's exciting to watch and rarely goes backwards.
His first Celtic goal capped a second impressive display. For all of their transfer issues of late, Tounekti looks a real find in that window of largely missed opportunity.
If Celtic played well in this tie, it was inevitable they would win and they did so comfortably.
For Thistle, all the endeavour that's required was there, but Celtic's pace and ability was too much. They managed to frustrate initially but couldn't ask enough questions and the first-half quick-fire double proved decisive.
They've had a really positive start under Mark Wilson and can take solace in reaching a quarter-final and the much-welcome significant boost in finance this tie brought.
Celtic boss Brendan Rodgers tells BBC Scotland: "I was really pleased with the performance and the result.
"You have to be really professional and we were. The players passed it well and created some really good moments in the game.
"We're building. It's hard to go through nine months in the season being hot. With everything going on in the window it's taken some time for players to come in.
"I can see the fluency and the rhythm of the team growing each day."
Partick Thistle manager Mark Wilson tells BBC Scotland: "Disappointed in the final result but a lot of people would have expected that. A lot to learn from it when you come up against that level of opposition.
"Disappointed to lose the goals in the fashion we did, I thought they were poor, and the timings as well.
"We sat in too deep at times. I wanted us to be brave and put Celtic under more pressure but the tide was going one way.
"A team like Celtic will play through you but I was pleased at the players reaction in the second half and how they stuck at it."
Celtic begin their Europa League campaign on their travels with a trip to face Red Star Belgrade on Wednesday (20:00 BST) before hosting Hibernian next Saturday in the Premiership.
Partick Thistle are also away from home in the much closer location of Dunfermline when they return in the Championship on Saturday (15:00).
After the opportunity to rate players has closed, the score displayed represents the average from all the submissions by BBC Sport users.
Manager: Mark Wilson
Formation: 4 - 2 - 3 - 1
Manager: Brendan Rodgers
Formation: 4 - 3 - 3
Manager: Mark Wilson
Formation: 4 - 2 - 3 - 1
Manager: Brendan Rodgers
Formation: 4 - 3 - 3
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