"I think, I mean it sounds cliché, but we were just getting pucks behind them and going to work," Sheary said of the Sabres' start. "I think, with the group we have in here, we have a lot of hardworking guys and gritty guys and that's where our game's our best.
"I think we started turning the puck over and not getting it deep and I think that led to their transition."
Killorn's power-play goal came at 13:57 of the second period. Tyler Johnson scored on a breakaway less than two minutes later to cut the Sabres' lead to 4-3.
The Sabres had chances to add insurance in the opening minutes of the third period, but to no avail. Kevin Shattenkirk scored from the high slot at the 6:20 mark, followed by a second goal from Killorn that stood as the game winner less than two minutes later. Anthony Cirelli added an empty-net goal in the final seconds.
Buffalo had two power plays with a chance to tie the game in the third period but was unable to score despite long stretches of possession. The power play finished the night 0-for-4 with three shots on goal, while Tampa Bay went 2-for-5. (Ondrej Palat scored the Lightning's first goal with the extra man in the second period.)
"You could even hear it from the crowd, we definitely gotta put pucks on the net," Krueger said. "There is a lot of control, there is a lot of O-zone time there, and without shots, you're not going to get any fruit of the labor of the power play. And the shots have to hit the net, right?
"Just looks like [we're] squeezing it, trying too hard, forcing it, I'm not sure. The guys are working hard, but we're not working right in some ways. We've got to get back to the fundamentals and we've got to get back to the basics, and over and over again, and work on that until we get it going the right way."