Henrique’s second half goal was enough for Brisbane’s first win under Mike Mulvey.
The Wanderers scored six in an extraordinary night for the A-League newcomers.
Melbourne Victory came from behind to record their first win of the season.
A game that pitted two counter-attacking sides against each other was a tight battle, before a classic counter-attacking goal settled the game.
Kosmina’s second tenure at Adelaide has seen him attempt to turn the Reds into a more proactive footballing side.