Kyle Connor scored, and Eric Comrie made 17 saves for the Jets (9-6-0), who have lost the first three games of a six-game road trip (outscored 9-2).
"They're coming off a back-to-back and we wanted to get on them early and we just didn't do it," said Jets forward Cole Perfetti, who made his season debut after sustaining an ankle injury during the preseason. "We just didn't execute properly. We're just not playing our style the way we can."
Sennecke gave Anaheim a 1-0 lead at 7:18 of the first period, scoring with a one-timer from the left hash marks off a backhand feed from below the goal line by Gauthier.
The goal came after Sennecke passed up a shot on a pair of early 2-on-1 breaks.
"Two 2-on-1s right off the bat and we don't get a shot and it's like, 'OK,' and then he scores on the same shift," Quenneville said. "So, it was one of those nights where, certain teams, you don't want to look for the perfect play, and getting pucks to the net sometimes can be effective, but [Sennecke] certainly has got some different things in his bag of tricks type of thing where he makes plays and he's slippery and, at the same time, he's got some strength in the puck area and he's got a tricky release as well."
The Ducks killed two penalties before scoring on the first of their four power plays.
Jackson LaCombe's slap shot from the point hit Kreider in front of the net, but the puck dropped down to Troy Terry, who swept it over to Carlsson for a one-timer from the left circle that made it 2-0 at 19:03.
Connor cut it to 2-1 a 4:22 of the second period, scoring through the legs of Drew Helleson with a wrist shot from above the right hash marks.
The goal was Connor's 600th NHL point (293 goals, 307 assists in 628 games).
"I'm sure down the line I'll look back on that and it will be pretty cool, but trying to help the team win here," Connor said. "We've lost three in a row now and we've got a long way to go."
Sennecke pushed the lead to 3-1 at 11:48. Gauthier's shot from the bottom of the right circle was saved by Comrie, but the rebound came out diagonally to Sennecke, who reached around Jets defenseman Dylan DeMelo and swiped the puck five-hole.