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While Manchester City have thrived in domestic knockout competitions, Manchester United have struggled to reach finals, and win trophies, with there still a gap in quality between themselves and their cross-town counterparts.
Man Utd have been eliminated from all four semi-finals they've played in since Solskjaer took over in December 2018, losing twice in the final four of the League Cup while also failing to reach an FA Cup and a Europa League finale.
Despite those semi-final struggles, Solskjaer says that Man Utd's issues on this stage are merely a coincidence and not an indication of any underlying issues.
"Manchester City can score many great goals. You can accept that. When you concede two simple set-plays, it's very disappointing. Just not good enough in those moments," he told Sky Sports.
"We didn't create enough big chances. They didn't either. We didn't have the extra finesse we've had in the games lately. We weren't good enough today.
"We played against a very good Manchester City team. They played well. When they play well you have to play very well to beat them. We were just lacking that little bit.
"We're getting closer. This is a much better version of United than a year ago in those semis.
"It's not psychological losing in four semi-finals. Sometimes you meet good teams in the semis. We met City who, at the moment, are probably the best team in England."