The French international was part of the side that came from two goals down to defeat their local rivals at Wembley, and he revealed that Sir Alex Ferguson inspired comeback
Evra, who took the captain's armband from Nemanja Vidic at half-time, said that the victory gave United some revenge following last season's FA Cup semi-final defeat.
"When we lost the FA [Cup] semi-final, when we [saw] them celebrate it hurt a lot," Evra said to FATV.
"And when you come back [to] Manchester, the City fans look like they won the World Cup. To win against City is always a great feeling.
"I really enjoyed the game, the fans that came to watch the game, they are really happy. If every Community Shield can be like that everyone is going to be happy."
United found themselves 2-0 down at half-time thanks to goals from Joleon Lescott and Edin Dzeko, despite enjoying the lion's share of possession.
Evra revealed that boss Sir Alex Ferguson was calm at half-time, with his side staging a second-half fight-back that saw Chris Smalling and a double from Nani secure the win for United at Wembley.
"He just said ‘keep going’ because I think we played much better than City in the first half," Evra said.
"But we really deserved to win and the manager wasn’t angry at half-time. He just said ‘keep going and when we score one goal we’re going to [come] back like the Man United way', and that’s what we did again.
"They just shot twice on the target and they scored."