Griffiths shot to the far post from 18 yards away, giving an assist to Blake Elliott with 1:23 left in the match.
Tim Mould made 15 saves on Senior Night for Worcester (1-10-2, 1-8-2).
B-G 6, Afton 4
Adam Bauerle scored three goals to lead visiting Bainbridge-Guilford to a victory in the MAC.
Bauerle opened the scoring on an unassisted 10-yarder 57 seconds into play. He also scored from close range off a corner kick from Kyle Hanvey 10 minutes into the match. Dan Norris scored 30 seconds later. Zach Smith and Dakota Johnson also scored for Bainbridge-Guilford.
Matt Olin, Jesse Dedman, Vinny Caratelli and Joe Shearer scored unassisted goals in the last 13 minutes for Afton (1-12-1, 1-11-1), which visits Windsor on Tuesday.