The Red Devils missed four of their five penalties to pass up the chance of meeting Manchester City at Wembley, and the boss feels a win would have been an injustice to Sunderland.
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Moyes was adamant that his side did not play well enough to advance to the final and that it would have been an injustice to Sunderland.
"If we were going to get through, we were going to stumble over the line, not because we played well enough," Moyes told reporters. "We didn't play well enough to merit going through. Sunderland came here and deservedly got themselves in the final. In the end, I just don't think we got the level of performance we needed to get through the game. It went to penalties - and our penalties were terrible.
"But the bigger disappointment was how we played. Of course you would expect a better standard because, don't forget, there were a lot of internationals out there. It's part and parcel of the job at times. There's always going to be a loser in a semifinal and it happens to be us. We didn't execute our penalties well enough."