Caufield has scored 10 points (six goals, four assists) in seven games under St. Louis after scoring one goal in his first 30 games this season. Suzuki has scored five points (two goals, three assists) during a three-game point streak.
"I think both of us are just playing with a lot of confidence, having fun out there," Suzuki said. "All these small plays that we're making, getting each other open and using our linemates well, it's been a ton of fun over the last seven games and we want to keep it going."
Jake Evans scored into an empty net with 1:33 remaining for the 4-0 final.
"We've got to start better than that," Cozens said. "We knew they were going to come out with that push. They've got fans in the building, they're on a winning streak, so we've got to be ready for that. We just weren't, and that's on us."
Montreal finished the game with 10 forwards. Paul Byron left at 3:22 of the first with an upper-body injury after he was checked into the boards by Mattias Samuelsson, and Josh Anderson left at 16:18 of the second after he was struck in the face when he went down to block a shot by Casey Mittelstadt.
Byron and Anderson returned to the Canadiens after each was sent to hospital for precautionary reasons, but there was no update on either player.
"I think [Anderson's] going to be just fine there," Suzuki said. "I saw him after the game."
NOTES: Sabres forward Brandon Biro played 13:30 in his NHL debut. … Buffalo defenseman Henri Jokiharju left the game at 9:22 of the second period with a lower-body injury. Granato did not have an update. … Suzuki's penalty-shot goal was the second by a Canadiens player this season. Laurent Dauphin scored on a penalty shot against Anthony Stolarz of the Anaheim Ducks on Jan. 27. … It is the third time Montreal has scored two penalty-shot goals in the same season. Tomas Plekanec and Guillaume Latendresse did it in 2006-07, and Alex Tanguay and Latendresse did it in 2008-09.