With a victory regarded as vital to Roberto Mancini's side, they took the lead through Edin Dzeko. However, the visiting Merseysiders were level before the break courtesy of former City striker Daniel Sturridge.
You can find out how the match unfolded with our minute-by-minute commentary below.
"The semi-final win shows it can be done, and hopefully we'll be able to do it againt," Shelvey told Liverpool's official website.
"I think we should have won [in August]. We had enough chances to win the game.
"Man City are a good team, they are the champions of England, so you have got to remember that. But if we go there and play the way we did at Anfield then we will get something from the game."
"It's usually always difficult against Liverpool. At this moment they are playing very well," he told Sky Sports News.
"Interestingly, if you went through the two teams on paper, you would not say Manchester City are a lot better despite the difference in points. As such, it is a very even game so far with a lot of action in the midfield.
"I wonder if any of the Manchester City players will have a go at Edin Dzeko for staying on the floor and claiming injustice? When I was playing, if I had done that, I would have had my head ripped off at half-time for not helping out and not stopping the other team getting a goal."