Henrique gave the Ducks a 1-0 lead 51 seconds into the first period on the first shot of the game when Carlsson fed him cutting through the right circle and he lifted a backhand over the left shoulder of Shesterkin.
"Certainly enjoying playing with those guys," Henrique said of Terry and Carlsson. "Hopefully, we can keep the chemistry going."
Henrique made it 2-0 at 15:37 after scoring off a loose puck in front of the crease.
"I thought we were controlling most of the game, but that doesn't matter," Laviolette said. "You find yourself down one, down two, and it's just not the start that you wanted."
Trocheck cut it to 2-1 at 17:58 of the second period with a power-play goal on a one-timer from the slot off a pass from Kreider following a carom off the end boards.
Anaheim appeared to take a 3-1 lead at 5:06 of the third period on a goal by Mason McTavish, but the Rangers challenged for offsides and the goal was waived off following a video review.
"We definitely could have just laid down there in the third being down and, obviously, we got fortunate with that offsides call there," Fox said. "The breaks really haven't gone our way, it seems, and that one went our way, and we got some momentum too."
NOTES: The Rangers are 8-0-0 in the second half of back-to-back games this year. ... Trocheck has 15 points (seven goals, eight assists) in his past 12 games. ... Panarin has at least one point in 38 of his 46 games this year, the second-most games with a point in the NHL this season behind Nathan MacKinnon of the Colorado Avalanche (40). ... Kreider scored his 127th road goal with the Rangers, moving him past Camille Henry for fourth most in team history. ... Rangers defenseman Erik Gustafsson had two shots on goal in 15:55 after missing the loss to the Kings on Saturday. ... Henrique has nine points (four goals, five assists) in his past eight games. ... Terry also has nine points (two goals, seven assists) in his past eight games.