They never have won the Champions League
1 times Liverpool played Man Utd in the UEFA Champions League.
3 times won the champion league.
Man utd have not won a Europa league but have won the champions league 3 times.
They have won the European cup/ Champions League 3 times, 1968, 1999 and 2008.
Manchester City has never won the Champions League (nor the European Cup).
Man U won the Champions League in 1999 and 2008 as well as winning it in European Cup format in 1968