Moore's goal came off the rebound of a Vincent Lecavalier shot during a Tampa Bay power play with less than 3 minutes remaining in the second period, giving the Bolts a 3-2 lead.
Carolina fell five points in back of Buffalo for the eighth and final Eastern Conference playoff spot.
Eric Staal and Erik Cole scored and Cam Ward made 28 saves for the Hurricanes.
Duggar sisters unveil Christian dating rules in new book
Beautician charged with giving client fatal silicone butt injection