Manchester city exit champions league contest
I think you meant to say "Manchester City exit Champions League contest"!
Yes, Manchester City was eliminated from the Champions League in the quarterfinals by Real Madrid in the 2020-21 season. The aggregate score was 3-1 in favor of Real Madrid, with Manchester City winning 1-1 at home and losing 2-0 away.
Manchester City has not won the Champions League title in its history, despite reaching the semifinals on several occasions. However, the team has won several domestic and international trophies, including the Premier League, FA Cup, League Cup, and UEFA Cup Winners' Cup.