I'll leave the last word to Celtic manager Brendan Rodgers.

"It certainly wasn't perfect by any means. I thought the first half was excellent. We had good intensity, pressure and shape. We scored three and we could have had a few more.

"Once tiredness set in after the break, the tempo slowed down."

Asked if he will be adding to his squad, he replied: "Hopefully that is the case. We would certainly like to."

Edinburgh City were on the end of a 3-0 loss at home to Livingston in the League Cup.

Liam Buchanan added to first-half goals from Daniel Mullen and Joshua Mullin.

Celtic boss Brendan Rodgers is content with the win and has a special word of praise for the huge crowd that turned up to cheer the team on.

More from the manager in a minute or two...

Next up is a trip to Astana and that's going to be a major step up since the Kazakhs made it to the group stage of the Champions League last season.

"Apart from the six hour flight, five hour time difference and 35C heat on an unwatered plastic pitch, it's not a bad trip," joked Brendan Rodgers on Tuesday.

It could and probably should have been a bigger margin of victory for Celtic but Raul Navas had a fine game in between the sticks for the team from Gibraltar.

A three-goal blitz inside six first-half minutes was enough to get the job done and erase the embarrassment of the first leg loss.

Image source, SNS

The match ends with Craig Gordon making a save, his first of the night. Substitute Fernando Livramento has a lash and the Celtic keeper can't hold on, it rolls back to the Red Imps man who can only blaze the rebound wide.

Raul Navas denies Leigh Griffiths again, making a smart stop at his near post as the striker ploughs in from the left edge of the box.

We'll get three more minutes of stoppage time. It's down to walking pace now.

The Red Imps make a trio of late substitutions to give as many of their players a taste of the big time. Those coming off all get a sporting round of applause from the home fans.

Leigh Griffiths finds the net this time but he was a fraction offside when latching on to a head flick from Stuart Armstrong.

It really should be four... Scott Brown lofts a ball over the top and Leigh Griffiths just has the keeper to beat but the striker can't squeeze his shot past Raul Navas.

Callum McGregor, who has been one of the best performers for Celtic tonight, tries to guide a shot past Raul Navas but the veteran Spaniard is equal to it.

Celtic finally get a big man on the end of a corner and Erik Sviatchenko's header flashes inches wide of the target. 

Celtic make their final change as Moussa Dembele makes way for Nadir Ciftci.

Chris McLaughlin
BBC Sport Scotland at Celtic Park

"Celtic continue to dominate but Lincoln are throwing caution to the wind and pressing forward when they can. Raul Navas in the visiting goal seems determined to keep the scoreline respectable. Second half lacking the tempo and drive of the first."

Lovely footwork from Leigh Griffths as he drifts his way past three challenges to hammer in a shot that ripples against the side-netting on its way past, getting one half of the ground very excited.

Leigh Griffiths is in again but he's offside as he shoots against keeper Raul Navas. Moussa Dembele is next to have a go and sends an effort wide from a tight angle.

Another good run from Patrick Roberts and the ball is threaded through nicely for Dembele but he can only muster a tame prod at Navas from eight yards or so.

It's all a bit sluggish from Celtic, with the zippy passes of the first half giving way to a more measured approach.

Suddenly, Leigh Griffiths is in behind the visitors' defence to meet a deep cross from Mikael Lustig but the striker makes a mess of his header, nodding high and wide from a promising position.

This is a decent spell for the Red Imps but they haven't tested Craig Gordon yet.

Another change for Celtic, with Emilio Izaguirre on for James Forrest, who has faded a bit. Will the hosts move to four at the back now?

Celtic make a defensive change, taking off Kieran Tierney and bringing on Norwegian Kristoffer Ajer. One teenager for another...