Dylan Guenther and Michael Carcone scored, and Karel Vejmelka made 22 saves. The Mammoth (20-20-3) won for the second time on a three-game road trip after defeating the New York Islanders 7-2 on Thursday and losing 4-1 to the New Jersey Devils on Saturday.
"This trip is important because you can go back home 1-2 or you can go back 2-1, and that is a huge difference," Utah coach Andre Tourigny said. "Now we're playing 10 of the last 14 (games before the Olympic break) at home. We're the team who has played the most games on the road in the League (26). So now we have an opportunity to balance everything out and to prove who we want to be. I think it was a big game."
Rangers goalie Igor Shesterkin left the game with a lower-body injury at 13:00 of the first period and did not return. Shesterkin (nine saves) was unable to put much weight on his left leg as he needed help off the ice and down the tunnel toward the dressing room.
Jonathan Quick replaced Shesterkin and made 14 saves.
Rangers coach Mike Sullivan said Shesterkin was still being evaluated and undergoing testing after the game.
"There are certain guys that drive your team and he's one of them for us," Sullivan said. "He's an elite player at his position. I think he's one of the very best in the league. When you lose a player like that for any length of time those types of players are difficult to replace."
Vincent Trocheck and Alexis Lafreniere scored power-play goals, and Artemi Panarin and Mika Zibanejad each had two assists for the Rangers (20-18-6), who played their first game since defeating the Florida Panthers 5-1 in the 2026 Discover NHL Winter Classic on Friday.
The Rangers had a 2-1 lead going into the third period, but Sullivan said he did not like their intensity in the first half of the period and it allowed Utah to get some momentum that led to Carcone's tying goal at 6:15.