First-half goals from Leigh Griffiths and Kris Commons proved to be enough for the Scottish Premiership side to clinch the tie.
It was the first Old Firm meeting since April 2012, and the atmosphere was electric. Celtic were the better team and deserved to win, and Mulgrew, who can play as a centre-back, left-back or central midfielder, believes that the Rangers appeared happy to lose 2-0.
“I didn’t play in the League Cup game last year but it was easy, wasn’t it?” Mulgrew told The Scottish Sun. “We scored two early goals and, to me anyway, Rangers seemed happy to get beat 2-0.
“Their fans were still singing when they were 2-0 behind. This time will be different. I’m looking forward to it, because it’s a great atmosphere to play in.”
Celtic and Rangers will face each other in the semi-finals of the Scottish Cup at Hampden Park next month.
It should be a very competitive match, especially as Rangers are going strong in the Scottish Championship and have a stronger team than last season.