Queensland 342 (Renshaw 112, Heazlett 59, Worrall 4-75) and 2 for 75 (Labuschagne 25*, Pfeffer 17, Winter 2-17) lead South Australia 162 (Zampa 57, Lehmann 30, Neser 4-32) by 255 runs.
Fast bowler Michael Neser tore through South Australia's middle order to put Queensland in a strong position on day two at Adelaide Oval.
The Bulls added just 16 runs on the second morning before being bowled out for 342 in their first innings. Redbacks quick Daniel Worrall picked up the last two wickets to finish with four for the innings.
South Australia moved to 29 for 0 loss before losing three wickets for nine runs, with Brendan Doggett claiming both Jake Weatherald and Travis Head.
Callum Ferguson and Jake Lehmann battled briefly before Neser took 4 for 1 in 3.1 overs to leave the Redbacks reeling at 7 for 89. Adam Zampa made a quick-fire 57 to try and salvage something from the wreck but Mitch Swepson put an end to that to hand Queensland a 180-run first innings lead.
Left-arm seamer Nick Winter removed both Bulls openers in the second innings but the Redbacks have a huge mountain to climb to get back into the game.