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
Rangers 1-1 Aberdeen
Jonathan Sutherland
BBC Sport Scotland at Hampden Park
Time now for the massed ranks in blue to get raucous in the national stadium as this semi-final now has a whole new dimension.
That goal from former Aberdeen player Ryan Jack has sucked the life out of the red half of Hampden.
Aberdeen have looked flat in this second half. The gauntlet has been thrown down by Rangers.
Rangers 1-1 Aberdeen
Ben Davies can't adjust himself enough to get a proper touch and the Rangers centre-half sends the ball flying wide off his knee as his side threaten from a corner.
Rangers 1-1 Aberdeen
Some players don't celebrate against their former club - Ryan Jack does however!
Image source, SNSRangers 1-1 Aberdeen
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Rangers 1-1 Aberdeen
Image source, SNS
Image source, SNSRangers 1-1 Aberdeen
Aberdeen also make a change, with Connor Barron in midfield to replace Hayden Clarkson, who was down with a bit of cramp.
Rangers 1-1 Aberdeen
Rangers make a double change, with Kemar Roofe on up front in place of Alfredo Morelos, while it is Glen Kamara for Malik Tillman in midfield.
Rangers 1-1 Aberdeen
The ball is bouncing dangerously around the Rangers penalty box.
Leighton Clarkson's low drive strikes the outside of a post, but it would not have counted anyway as fellow midfielder Matty Kennedy was offside.
Rangers 1-1 Aberdeen
Willie Miller
Former Aberdeen defender on BBC Sportsound
Quote MessageI think it's rash, there's a bit of intent. I don't think it's a red, there's not enough in it. It's not a straight leg and it won't injure a player. It's physical, a yellow card is enough in my book
Rangers 1-1 Aberdeen
A frustrated Ross McCrorie is booked for a swiping challenge that halts a rampaging Ryan Kent in his tacks.
It quickly follows a yellow card for Aberdeen goalkeeping coach Craig Samson as tempers reach an edge.
Rangers 1-1 Aberdeen
Ross McCrorie has a couple of League Cup goals this season already and the former Rangers defender lumbers upfield and fires a drive just wide via a deflection.
Rangers are all at sea at the resulting corner but manage to block a couple of efforts and survive still level.
Rangers 1-1 Aberdeen
Willie Miller
Former Aberdeen defender on BBC Sportsound
Scales just tried to make himself look big. It gives Kelle Roos no chance, but brilliant play from Ryan Jack. He's not known for his bursts forward. It's a very well-worked goal through Kent and Jack.
Fair play to Morelos, he sets it up perfect. I don't know if Roos would save the initial shot.
Rangers 1-1 Aberdeen
Neil McCann
Former Rangers winger on BBC Sportsound
It took a little nick on the way past Roos, but nonetheless, when it comes back to Jack - what about the flick to Morelos? He doesn't stop or admire it, he gets on his bike to get to the edge of the box.
It actually took a wicked deflection off Scales. It's a slice of fortune, but it's so well played.
Ryan Jack takes a lot of stick in this fixture, but it looked like he really enjoyed that goal.
Rangers 1-1 Aberdeen
A double blow for Aberdeen after the loss of the goal.
Dangerous, in-form winger Duk took a knock in the first half and his game is now up as he is replaced with former Celtic wing-back Jonny Hayes.
Ryan Jack
It has been coming!
Ryan Jack starts and finishes a fine move to equalise against his former side.
The Scotland midfielder collects the ball back from Alfredo Morelos and his low drive takes a deflection off on-loan Celtic defender Liam Scales and nestles in the far corner.
Image source, BBC SportRangers 0-1 Aberdeen
A bit of treatment for Kelle Roos, but the Aberdeen goalkeeper is fit to continue.
Meanwhile, Jonny Hayes looks like he is preparing to come on for the Pittodrie side.
Rangers 0-1 Aberdeen
Willie Miller
Former Aberdeen defender on BBC Sportsound
Aberdeen are trying to make it to tight for Rangers to play their little passes, but it's a dangerous tactic to employ. They need to be trying to push out.
They don't have to be at the half-way line, but get to the edge of the box and squeeze the game a bit more.
Rangers 0-1 Aberdeen
Aberdeen are sitting back as Rangers probe for an opening in and around the penalty box.
However, the ball is just not falling in the way that would allow a shot on target.
Meanwhile, Rangers have Kemar Roofe and Scott Arfield warming up on the touchline.
Rangers 0-1 Aberdeen
Willie Miller
Former Aberdeen defender on BBC Sportsound
If you're Aberdeen, you're probably quite happy that it's getting a bit meaty, a bit scrappy and there's not too much space for Rangers to build things up, particularly in the final third.
I don't think Jim Goodwin will be unhappy with the way the second half has started. This is what happened at Pittodrie four weeks ago too.
Image source, SNSRangers 0-1 Aberdeen
A nice lay-off from Malik Tillman sets up Ryan Jack on the edge of the Aberdeen penalty box, but his fellow midfielder fires wastefully over as it takes a bobble on the rutted surface against the latter's former team.