Lafreniere cut it to 3-1 on a 4-on-3 power play at 18:28 with New York’s first of two shots in the second, a wrist shot from the right circle under Skinner’s glove.
Rakell and Acciari scored 20 seconds apart early in the third period. Rakell tapped in a pass from Sidney Crosby on the power play, pushing the lead to 4-1 at 1:20; Acciari scored on a loose puck near the left post off a missed shot from Lizotte to make it 5-1 at 1:40.
“Can’t let up two goals in 20 seconds,” Trocheck said. “We’ve got to be paying more attention to detail. ... We were in right spots a lot of times too. We were where we’re supposed to be. We’re not executing our job. We just have to be better at that.
“Giving up six goals, giving up two in 20. You just can’t do it.”
Trocheck pulled the Rangers to within 5-2 at 9:12 by going forehand to backhand on a short-handed breakaway, and Gavrikov cut it to 5-3 on a one-timer at 15:15.
Ben Kindel scored an empty-net goal for Pittsburgh to make it 6-3 at 17:28 before New York scored the final two goals.
“It's a little closer than we would have liked,” said Crosby, the Penguins captain. “But sometimes you have to win games like that. Entertaining for the fans and for the guys that were in attendance. So yeah, we'll take the two points and try to learn from it.”
Lafreniere chipped in a pass from Trocheck, cutting it to 6-4 at 18:53, and Will Cuylle scored on a rebound at 19:49 for the 6-5 final.
“I don’t know. Score five goals and lose the game,” Rangers captain J.T. Miller said. “I guess the only positive today is we didn’t quit, kept pushing. Came down to the wire. But when you have to score six times, it’s pretty hard to win the game.
“I don’t know. I like that we didn’t quit. That’s about it.”
NOTES: Muse is the second coach in Penguins history with multiple winning streaks of at least six games in his first season with the franchise (also six from Dec. 28-Jan. 8), joining Sullivan (eight games and six games in 2015-16). ... Pittsburgh defenseman Erik Karlsson had a secondary assist on Rakell’s goal to become the 12th defenseman with 700 assists in the NHL. ... Penguins defenseman Kris Letang was placed on injured reserve Saturday. He will miss at least four weeks with a foot fracture. ... New York forward Noah Laba left with an upper-body injury early in the second period. There was no update on him.