Bartow scored five runs in the first, three in the second, one in the third and six in the fourth inning, while Fannin tallied its entire total in the third inning.
Blue coach Greg Hight said it was a bit of revenge for his team, which lost to Fannin in a state tournament.
"We got to make up for it in the World Series," he said.
Bartow also made up for a paltry offensive showing earlier in the day as Noah Dutton went 4 for 4, Tyler Pelphrey 2 for 2 and Maddox Teems 2 for 3 with two home runs. Tyler Hendon added a hit as well.
Pelphrey pitched three innings with four hits, five runs and three strikeouts. Cody Henderson pitched the last inning in the mercy-rule shortened game.
In Game 1 on Sunday, the Blue fell to the Florida state champions, 4-0.
Pensacola scored two runs in the first and one each in the third and fourth.
"We never could generate any offense," Hight said. "They were solid all the way through.
"We gotta come back out hitting tomorrow."
Pelphrey had a couple of hits against Pensacola, and Teems and Dutton each had one.
Teems pitched three innings, yielding three runs on four hits and striking out two.
Grayson Bagwell threw three innings, too, allowing three hits and one run while striking out one.
"We just gotta keep hitting, keep pitching and playing defense," Hight said.
Bartow plays today at noon against the winner of the Rome-Limestone (Ala.) matchup.