Eric Staal made it 5-1 at 2:53 of the third period when got in front of a puck Vasilevskiy tried to send around the boards and tucked it into an open net.
Verhaeghe got his second goal off another assist from Tkachuk to make it 6-1 at 5:26, and Tkachuk scored another power-play goal at 14:23 for the 7-1 final.
"I want to say that we're still on vacation, but their will to win was a little bit stronger than ours tonight," Lightning coach Jon Cooper said. "I just thought it was too easy a night for them in our zone. Hence, the result happened."
Aleksander Barkov left the game for Florida in the second period after blocking a shot by Mikhail Sergachev.
"He couldn't come back and probably won't skate tomorrow, but we don't think it is going to be long term," Maurice said. "Tomorrow I'll give you a better idea, but there's a good chance he plays in the next game (against the Sharks on Thursday)."
NOTES:Tkachuk had five points in a game twice with the Calgary Flames (Jan. 24, 2022, against the St. Louis Blues; March 15, 2019, against the New York Rangers). He has 28 points (10 goals, 18 assists) in the past 15 games. … Maurice is the sixth coach to reach 800 NHL wins, joining Scotty Bowman (1,244), Joel Quenneville (969), Barry Trotz (914), Ken Hitchcock (849) and Lindy Ruff (814). … Verhaeghe has nine goals in the past nine games. … Lightning forward Ross Colton took a shot off his foot late in the third and left the game. There was no update. … Vasilevskiy also gave up seven goals on Feb. 22, 2020, against the Arizona Coyotes. … Kucherov has 11 points (three goals, eight assists) during a seven-game point streak.