Acciari was moved up to the second line alongside Huberdeau and Vincent Trocheck after coach Joel Quenneville juggled his lines following three straight regulation losses.
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Aleksander Barkov, Mike Matheson and Dominic Toninato scored for Florida (16-12-5). Sergei Bobrovsky made 29 saves in his sixth consecutive start, and Aaron Ekblad had two assists.
"It's an awesome feeling," Acciari said. "[Huberdeau] found me backdoor; [Trocheck], those guys are fun to play with, easy to play with in how skilled they are. They can find you in areas you didn't think they could, and easy tap-in goals there. It was a really exciting night."
Artem Anisimov scored for Ottawa (14-18-2), which saw its three-game point streak end (2-0-1). Anders Nilsson made 25 saves.
"Obviously, it's not the way we wanted it to go," Senators forward Logan Brown said. "It kind of slipped away from us there. We got away from our game, but I think we played hard in the third and started to get our game back for [Tuesday] night (at the Tampa Bay Lightning)."
Acciari gave the Panthers a 1-0 lead at 9:42 with a backhand from in front of the net and made it 2-0 at 1:18 of the second when he one-timed Huberdeau's backhand cross-crease pass.
"I don't know how he saw me," Acciari said. "He's special with the puck and he can find guys backdoor, probably one of the best in the League. I'll stand there all day if I have to."