Mashrafe Mortaza had 14 stitches on his left-hand after getting injured in the last game.
Universe Boss Chris Gayle announced himself, smashing 22 runs off Afif Hossain's first over.
The Challengers chased down 122 with 11 balls to spare.
The Warriors are on a four-match losing streak and are placed fifth.
The left-handed Kayes got the slowest fifty of the ongoing BPL off 52 balls.
Chattogram has beaten Dhaka only once out of five times at the Sher-e-Bangla National Stadium.
Mahmudullah won't be available for the Chattogram leg of the tournament.
These players could've made the difference to their teams at some stage in the World Cup.
Kamrul Islam Rabbi registered his career-best figures of 5/24 from the nine overs he bowled in the previous game.
The BCB has extended the list of players who held central contracts this year.