Matt Boldy had a goal and an assist, Brandon Duhaime and John Klingberg scored, and Filip Gustavsson made 23 saves for the Wild (44-23-10), who are 5-1-2 in their past eight games.
"We played a [heck] of a hockey game," Evason said. "Listen, that's our first step, right? The way we played tonight as opposed to the other night (a 4-1 loss in Vegas on Saturday), we were so happy with the way we played. Five-on-five, we were as good as we've been and we make a mistake at the end 5-on-6.
"We liked the way we came back from that game and played a real strong hockey game."
Pavel Dorofeyev had his first NHL multigoal game, William Karlsson had two assists, and Laurent Brossoit made 30 saves for the Golden Knights (48-22-7), who are 10-2-1 in their past 13 games.
Vegas moved three points ahead of the Los Angeles Kings and four points ahead of the Edmonton Oilers for first place in the Pacific Division.
"We weren't at our best. We know that," Golden Knights coach Bruce Cassidy said. "First period was fine, we were OK. Then in the second, we got loose with some net-front stuff. But at the end of the day, you've got to win some of those games with your B game so to speak. We were able to do it, so good for us."