New York got the lead back when Lafreniere scored at 2:36 to make it 2-1. Zibanejad forced Brandon Montour into a defensive-zone turnover with a strong forecheck. Buchnevich got the puck, carried it across the slot and waited for an opening. His shot from low in the left circle went in off Lafreniere in front of the net.
"I was thinking if I keep going and the defenseman bites, I can give it to 'Laffy' for an empty-netter, but he followed me and didn't give me a lane for a shot," Buchnevich said. "I just created space and then I had almost an empty net. It hit Laffy and scored, 2-1."
Kreider made it 3-1 at 9:32 of the second period when he beat Hutton on the glove side with a rising far-side wrist shot that went through Montour's legs.
Kreider has scored six goals in the past five games after scoring four in the first 15.
"I don't think he's overthinking it as much as he was early on," Quinn said. "I think he took a lot of responsibility from a leadership standpoint early in the year and it might have weighed him down a bit. I certainly like the way he's playing now."
Rieder's wrist shot from the right point got through traffic to make it 3-2 at 16:21.
The Rangers limited Buffalo's opportunities in the final 23:39. They didn't allow the Sabres another shot on goal in the second period after Rieder scored, and gave up five in the third, mustering three of their own.
"We've just got to find a way to put the puck in the net, that's it," Buffalo forward Kyle Okposo said. "That's what it comes down to. This is a results-based business, and I understand that playing good gets you nowhere in this industry if the results aren't there."
NOTES: The goals from Buchnevich and Reinhart were the first time each team scored in the first minute of a regular-season game since the Los Angeles Kings (16 seconds) and Edmonton Oilers (38 seconds) on March 26, 2016. … Buffalo's first goal ended a drought of 130:25 dating to the third period of a 4-3 overtime loss to the New Jersey Devils on Feb. 25. The Sabres were shut out in consecutive 3-0 losses to the Philadelphia Flyers on Saturday and Sunday. … Rangers center Filip Chytil had one shot on goal and two takeaways in 16:08 of ice time in his first game since Jan. 24. Chytil missed 14 games with an upper-body injury. … Fox has five assists in the past four games. … Sabres rookie forward Dylan Cozens was assessed a five-minute major for fighting Ryan Lindgren at 7:11 of the third period. It was his first NHL penalty in his 15th game.