Despite the distraction of Andrew Symonds being sent home for a disciplinary breach, the home side won the first match on Saturday by 180 runs, with Bangladesh routed for just 74.
Australia recalled all-rounder Shane Watson, who has recovered from calf soreness, at the expense of seamer Brett Geeves, who debuted on Saturday.
A finger injury to Raqibal Hasan forced him out of the Bangladesh team and he was replaced by batsman Junaid Siddique.
Australia: Michael Clarke (C), Michael Hussey, Brad Haddin, Shaun Marsh, David Hussey, James Hopes, Cameron White, Shane Watson, Mitchell Johnson, Stuart Clark, Nathan Bracken.
Bangladesh: Mohammad Ashraful (C), Mashrafe Mortaza, Tamim Iqbal, Junaid Siddique, Shakib Al Hasan, Alok Kapali, Dhiman Ghosh, Abdur Razzak, Shahadat Hossain, Mehrab Hossain, Nazmul Hossain.
Umpires: Bruce Oxenford (AUS), Amiesh Saheba (IND)
TV Replays: Rod Tucker (AUS) Reserve: Peter Parker (AUS)
Match referee: Javagal Srinath (IND)