Brisbane went further ahead when Lachlan Maranta dived on a loose ball that popped out when Sam Thaiday jammed Sosaia Feki on the goal-line.
During the week it was questioned whether five-eighth Anthony Milford would have been better served moving back to fullback and he had a mixed night, dropping the ball twice inside his side's 20 metre zone.
Barba, who had a poor showing the week before in his first game in Cronulla colours, didn't make a real impact on the contest.
Brisbane fullback Jordan Kahu relieved some of the pressure on his position with a solid showing under the high ball as well as making a try-saving tackle on Jayson Bukuya in the 71st minute.
Poor handling was a theme in slippery conditions with both sides making 12 errors each, with Cronulla in particular guilty of dropping the ball when trying to build pressure.
- AAP