Declan Carlile’s first goal of the season pushed it to 4-0 at 10:21, a wrist shot from the left circle under Cooley’s pads.
"For a team that's really good in the first period like Tampa is, you have to make sure you're on with your details," Huska said. "And I don't think our details were good enough early on in tonight's game."
Farabee scored a short-handed goal to make it 4-1 at 1:04 of the third period on a shot from the right circle.
"After they scored the fourth, we tried to claw our way back and it was an even game after that," Flames center Mikael Backlund said. "But we can't give games away in the first. It's a tough league to come back [against] any team when you're down 4-0.
Kucherov made it 5-1 at 14:23 when he finished off a 2-on-1 rush with Hagel providing the setup pass.
"Obviously they've been on a little hot streak there," Carlile said. "So you knew they were going to come out hot and we had to respond. It was nice to get out early."
NOTES: Farabee has four goals in his past four games. ... Hagel has nine points (five goals, four assists) during a three-game point streak. ... Kucherov has 13 points (four goals, nine assists) during a seven-game point streak. ... Lightning forward Pontus Holmberg had an assist in his return to the lineup after missing seven games with an undisclosed injury. … Girgensons became the third Latvia-born player in NHL history to record 200 career points (96 goals, 104 assists), joining Sandis Ozolinsh (564 points) and Sergei Zholtok (258).