United crashed out on away goals to Bayern Munich, only winning 3-2 at Old Trafford after leading 3-0 following a 2-1 defeat in Germany.
Sir Alex Ferguson's men kick off their campaign at home against Rangers this time around and Evans said: 'I think when we look back at the Champions League last year, we were so disappointed.
Solid: United defender Evans
Midfield maestro: Gers star Davis
'We were in control against Bayern Munich, even at the start of the first game away from home. Moments of madness cost us.
'I think if we'd beaten Bayern we should have gone on to win it in the end. I know we would have had a tough game against Inter in the final and before that we would have faced Lyon in the semi, but I think we would have fancied ourselves.'
The Northern Irishman has singled out international team-mate Steve Davis as one to watch for the Glasgow giants.
Davis joined Rangers from Fulham in 2008 and Evans reckons it is just a matter of time before the midfielder is back playing in the Premier League.
He added: 'Steve is technically and physically one of the best midfielders I have seen coming out of Northern Ireland. 'He has fantastic ability and the Rangers fans love him. He started off brilliantly at Villa but it did not quite work out for him at Fulham. However, he could definitely play for a Premier League team.'
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