Poehling, who had one goal in five games since being recalled from Laval of the American Hockey League on Nov. 10, made it 4-0 with a wrist shot over Saros' glove from the left face-off dot at 9:31.
He scored his second straight at 10:08 with a one-timer off Toffoli's flip pass from the top of the slot to make it 5-0.
"Alex Belzile, we were linemates in Laval for a bit, he says, 'Shoot or shoot,'" Poehling said. "So it was kind of funny, he texted me after the game and said the exact same thing. But that's a true thing. You've just got to get pucks to the net, and the more you get them there, the more they'll go in. So I've been focused on that."
The Predators also lost 3-0 at the Toronto Maple Leafs on Monday on an abbreviated road trip to Canada that included a game at the Ottawa Senators on Thursday that was postponed because of Ottawa's COVID-19 outbreak.
"I just think we've got to reset here," Hynes said, "And we've got to make sure that we're coming back to the rink on Monday ready to learn from this experience of what it is these last two games. We've got to elevate our plays in certain areas and that will be our focus."
NOTES: A Nashville goal at 11:28 of the first was disallowed because the referee ruled Luke Kunin used his arm to direct the puck into the net. … Duchene scored his goals 9:51 apart, the fourth fastest hat trick by a Predators player. Rocco Grimaldi scored three goals in 2:34 on March 25, 2021, followed by Steve Sullivan (5:56; Dec. 14, 2006) and Filip Forsberg (8:37; Feb. 21, 2017). … The Canadiens dressed seven defensemen and 11 forwards. … It was Montembeault's first NHL win in seven starts and 10 games since Feb. 11, 2020, when he made 25 saves for the Florida Panthers in a 5-3 win at the New Jersey Devils. … Poehling's goals were the fastest by a Montreal player since Guillaume Latendresse scored twice in 31 seconds on Nov. 13, 2006.