The Maple Leafs came up short in the franchise record book.

Their coach did not.

Pierre Engvall and Auston Matthews scored in the second period, and the Leafs outpaced the stingy New York Islanders 3-0 at Scotiabank Arena on Saturday night despite being outshot 33-23.

The Leafs were going for a team-record 10th consecutive game with four goals or more, but that didn’t happen against an Islanders team that entered the night with the fewest goals against in the NHL (104).

Sheldon Keefe, though, became the first head coach in team history — 101 years — to win 15 of his first 20 games.

“Every day brings a new challenge,” said Keefe, after telling reporters that he hadn’t thought about the personal achievement, “and as I’ve said in the past, I still think we’re not close to where I think we can be as a team. That’s exciting, and that’s what keeps us working.”

They did extend their streak with at least a point to 10 games — six shy of the franchise mark — with Michael Hutchinson picking up the shutout.

Keefe is now 15-4-1, surpassing Hall of Famer Hap Day, whose club started the 1940-41 season 14-5-1.

Keefe said prior to the game that players are getting more and more comfortable with the changes introduced since he took over from Mike Babcock on Nov. 20. In particular, Keefe has emphasized putting players in the best position to succeed offensively and defensively.

Matthews made the most of one chance, scoring his 28th goal of the season and ninth in the past six games. He also became the ninth player in the last 35 years to score 21 goals or more in his first 20 home games.

Matthews and linemate Mitch Marner didn’t have a shot on goal in the first period. Marner’s assist on the Matthews goal gives him 21 points over his last 13 games.

Engvall, meanwhile, continues to be a feel-good story after firing his sixth goal in 21 games. The Marlies call-up finished a play started by Kasperi Kapanen — who cut down the left side, deked Islanders defenceman Noah Dobson and then threaded a pass by Devon Toews to set up the goal.

The Leafs upped their league-leading goal total to 154, and have now scored the first goal in 15 of 20 games under Keefe.

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Top-drawer Hutch: For the first time this season, Hutchinson was in net even though the Leafs weren’t playing on back-to-back days. He responded with a 33-save performance that was by far his best in 10 NHL games this season. Keefe made the move in part because he wanted to give No. 1 goalie Freddie Andersen an extended rest after two wins on the road this past week. Hutchinson is now 3-0-0 under Keefe, after an 0-5-1 start under Mike Babcock. The Leafs managed just 21 points in the standings when they played their backup goalie last season, the fewest in the Eastern Conference among teams that made the playoffs. “It’s everything, really,” Hutchinson said about being in a better frame of mind after going winless in his first six starts. “You can’t change anything that happened earlier in the season, but I’ve been able to come to the rink every day and enjoy the success the guys are having. It’s just nice to be able to contribute to that.”

Up next: Monday vs. Connor McDavid and the Edmonton Oilers, 7 p.m.

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