Rooney struck a first-half brace to become only the sixth player to score 150 Premier League goals but Manchester City's second-half comeback meant new boy Van Persie had the final word with a last-gasp free-kick.
The former Arsenal forward has already netted 14 times to justify a hefty £24m price tag and Evra said an August afternoon in Southampton, during which he scored a hat-trick but also missed a penalty, was revealing.
"Robin is perfect for Manchester United," Evra told TalkSPORT. "When he scored the hat-trick at Southampton he also missed a penalty.
"The first thing he said when he came back to the dressing room was that he was really sorry for missing the penalty. That shows the hunger, humility and personality he has to win trophies.
"He is not just scoring for himself. He really wants the team to win something."
Rooney's contribution had been overshadowed by Van Persie's exploits but four goals in a week have taken his season's tally to seven.
"A lot of people criticised Wayne at the beginning of the season, asking why
he didn't score so many goals," Evra added.
"Last week he scored two goals. (Sunday) he got two again. He is a really important player for us."
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