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Rangers 0-1 Aberdeen
It's end-to-end stuff with good passes setting off Ryan Kent and Fashion Sakala at the Aberdeen end and Duk at the other, but both defensive survive.
Aberdeen open scoring through Miovski before Jack levels midway through second half; Dons captain Stewart red carded in injury time as Roofe steers in Rangers' second in extra time
Celtic already in final after beating Kilmarnock on Saturday
Final will be played on 26 February
Clive Lindsay and George O'Neill
Rangers 0-1 Aberdeen
It's end-to-end stuff with good passes setting off Ryan Kent and Fashion Sakala at the Aberdeen end and Duk at the other, but both defensive survive.
Rangers 0-1 Aberdeen
Rangers get the second 45 minutes under way and they'll need to produce another of the fightbacks that have been commonplace this season if they are to reach the League Cup final.
HT: Rangers 0-1 Aberdeen
Rangers' players are back out first and there are a few concerned faces.
A major test against an Aberdeen side who look more sprightly as they emerge from the tunnel.
HT: Rangers 0-1 Aberdeen
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HT: Rangers 0-1 Aberdeen
Neil McCann
Former Rangers winger on BBC Sportsound
As a former wide player, see that cross? I can't tell you how good it is, I can't over-egg it.
It's so good because of the run he's made. He's run 40 or 50 yards, he might be starting to run out of juice and then to deliver the perfect cross with the right weight to the right area.
The finish was good, but Matty Kennedy's part in that is magnificent.
HT: Rangers 0-1 Aberdeen
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HT: Rangers 0-1 Aberdeen
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HT: Rangers 0-1 Aberdeen
Tom English
BBC Scotland's chief sports writer
Despite the state of the pitch, we've had two good semi-finals today and yesterday. It's gone at a fair old pace, this one. Chances, commitment, the sucker punch, the counter attack. Brilliant goal from Aberdeen.
It's a tale of two strikers, isn't it? Morelos has had two chances, one off target, one saved. Miovski has had one chance and he's scored it, it's a beautiful finish. Composure in the moment. It sets this up beautifully.
HT: Rangers 0-1 Aberdeen
Rangers will rue a Fashion Sakala header off the outside of a post, while Alfredo Morelos had an effort clawed off the line by goalkeeper Kelle Roos.
But Michael Beale's side have looked vulnerable at the back when faced with the speed of Aberdeen's counter-attacks.
Rangers came back to win both their league games against the Dons this season and will have to do so again if they are to set up an Old Firm final.
Nick Walsh whistles to end a thrilling first half and it is Aberdeen who - so far - are heading to a League Cup final against Celtic.
Rangers have been slightly the better side, had the better chances, but it is Aberdeen who lead thanks to Bojan Miovski's 13th goal of the season.
Rangers 0-1 Aberdeen
Fashion Sakala fires a long range effort just wide as the winger looks to reply quickly for Rangers.
But it's Bojan Miovski's goal that separates the sides.
Rangers 0-1 Aberdeen
Neil McCann
Former Rangers winger on BBC Sportsound
What a finish and what a ball. Kennedy's run is even better. His desire - he recognises that Miovski is offside.
It's horrific from Barisic because he's in a much better position, but he doesn't switch on or identify that Kennedy is going to race for it.
Full marks to Aberdeen, but that's a brilliant goal made by Kennedy and a lovely cushioned finish by Miovski.
Rangers 0-1 Aberdeen
Jonathan Sutherland
BBC Sport Scotland at Hampden
The red section of Hampden erupts!
Uncertainly in the Rangers defence and they pay the price. Matty Kennedy - a player reborn - seizing the initiative.
After a six-game goal drought, Bojan Miovski was always due a goal. What a time to get it.
Rangers 0-1 Aberdeen
Willie Miller
Former Aberdeen defender on BBC Sportsound
He's definitely a predator, he knows where to be at the right time. He does everything correctly, he knows he's offside, so he leaves it. But then Rangers don't deal with it.
Kennedy comes from a brilliant position. He says to Miovski "go and tap that into the net" and that's exactly what he does.
Bojan Miovski
Out of the blue...
Bojan Miovski chips in from close range as Rangers' defence is caught napping from a Leighton Clarkson through ball.
Miovski is offside and shows good awareness to leave it for Matty Kennedy and, when the winger returns it to the Macedonia striker, there is no Rangers defender to deny him a stunning opening goal.
Rangers 0-0 Aberdeen
It looks like Duk has recovered from that knock and Aberdeen boss Jim Goodwin does not need to look to his bench just yet.
Rangers 0-0 Aberdeen
Willie Miller
Former Aberdeen defender on BBC Sportsound
Quote MessageI think Duk has a problem, which would be a real problem for Aberdeen. Jonny Hayes isn't a bad replacement, in terms of experience and pace - and his understanding
Rangers 0-0 Aberdeen
Alfredo Morelos thinks he's scored - but he hasn't!
The Rangers striker rises to power a header towards goal from a looping Ben Davies cross.
Kelle Roos drops it on the line, but the Aberdeen goalkeeper manages to prevent it crossing for a goal.
Rangers 0-0 Aberdeen
Another big chance for Rangers.
Ryan Kent's thundering drive can only be beaten away by Aberdeen goalkeeper Kelle Ross and fellow winger Fashion Sakala lacks composure as he slashes wide from 14 yards.
Rangers 0-0 Aberdeen
Rangers threaten on the break after Aberdeen winger Matty Kennedy disappoints with a lame free-kick into the penalty box.
Alfredo Morelos is in the clear from Ryan Kent's sliding pass, but the striker fires low and wide of the far post from 18 yards.