The Northern Ireland international, sidelined for the last month with an ankle injury, helped the Red Devils progress to the fourth round of the Capital One Cup, where they will face Norwich.
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“That was my first start of the season and it was a tough game to come into because if you look at their forward line they’ve got a lot of pace and trickery,” the defender told MUTV.
“You know when you’re playing against Sturridge and Suarez you’re never going to have an easy evening, but as a team we defended every set-piece well and that’s what you need in games like this."
United grabbed the only goal of the game through a Chicharito header in the first minute of the second half.
“We dug in well,” he added. “We didn’t play as well as we might have wanted to, but it can be like that against Liverpool, it’s more blood and thunder.
“Chicharito scored a brilliant goal – his movement was unbelievable to get away from his marker.”
Evans was part of the Manchester United team that won the League Cup in 2010, and revealed it is a trophy he is keen to win again.
“This is a competition that we take seriously,” he insisted. “Early in my career here it was the first trophy that I won and it’s one we’d be proud to win again.”