Rookie Cole Caufield collected the secondary helper on the snipe.
Anderson snapped a six-game goal drought on the sequence.
Suzuki, meanwhile, extended his point streak to three consecutive games.
That's the way things stood after 20 minutes. Tampa Bay held a 12-5 advantage in shots at the break.
Winger Barclay Goodrow tied things up 1-1 for the Lightning with 2:40 left in the second period, beating a helpless Carey Price for his second goal of the playoffs.
Goodrow was the beneficiary of a perfect feed from defenseman Ryan McDonagh, which led to the easy tally.