Rishabh Pant went off the field during the third session of the second day's play.
Badani replaced Ricky Ponting, while Rao replaced Sourav Ganguly at DC support staff.
India were bowled out for 46 on Day 2 in Bengaluru -- their lowest Test total at home.
Rishabh Pant went off the field during the third session of the second day's play.
India was bowled out for 46 after winning the toss and choosing to bat in Bengaluru.
India registered their third lowest Test total and lowest ever at home.