Moser cut the deficit to 3-2 at 16:23 on a wrist shot from the point following a face-off win by Anthony Cirelli in the right circle.
"I think our execution was off," Cirelli said. "That's a good team over there that can make plays and put pucks in the net. We gave them too many chances and didn't execute well. It feels like we're got to figure out how to get back to our game. We've got to be a lot better."
Garland scored his second goal while on the power play at 4:00 of the third period. Monahan collected a loose puck in the slot and passed to Garland, who skated into the left circle and put a backhander under Vasilevskiy's blocker.
"He plays the right way," Werenski said about the impact Garland has made so far. "He competes. He works extremely hard in battles. He's a smaller guy, but he doesn't play like it and that brings everyone else into the fight."
Dante Fabbro secured the 5-2 final with an empty-net goal at 15:25.
NOTES: Marchenko has nine points (four goals, five assists) in a six-game streak. ... Blue Jackets forward Charlie Coyle extended his point streak to seven games (one goal, eight assists). ... Monahan has six points (two goals, four assists) over his past six games. ... With his goal, Goncalves set a new career high in points with 21 (eight goals, 13 assists). ... Kucherov has eight points (two goals, six assists) during a three-game streak. He also became the seventh player in NHL history with four consecutive 70-assist seasons.