The France international was involved in both goals, with a penetrating run ended by a foul from Marouane Chamakh to earn a penalty that Robin van Persie coolly converted.
Then a pull-back from the byline was superbly volleyed home by Wayne Rooney to double the lead six minutes later. In defence, he helped the Reds to a second straight clean sheet.
"It was job done," Evra told MUTV. "It was really important, we have had some bad results and tonight we could not afford another defeat. I think we saw a strong Manchester United, confident to play with the ball, and I'm really pleased for all the lads."
Evra was selected as Man of the Match by Sky Sports, while Rooney got the nod from the club’s fans via its social media channels, but the left-back was firmly focused on the needs of the team.
"I'm happy to help the team, but most important was the team performance. It does not matter if I'm Man of the Match. I'm just happy with the three points because what matters to me is Man United winning, not Patrice Evra winning Man of the Match.
Rooney's brilliantly-taken goal also earned the seal of approval from the 32-year-old, who is delighted the striker has signed his new long-term contract with the Reds.