Shikhar Dhawan smashed 51 off 24 balls and Ashwin picked up three as India thrashed below-par Sri Lanka by 69 runs in the second T20 in Ranchi on Friday.
Debutant Kasun Rajitha and Shanaka piked up three each helps Sri Lanka beat India by five wickets in first T20 in Pune on Tuesday.
Three-time champion India will meet the winner of Bangladesh-West Indies match on 14 February.
Ishant Sharma has been sold to the Rising Pune Supergiants (RPS) in the 2016 Indian Premier League (IPL) Auction
Rewarding the players for their successful T20 performances in Australia, the BCCI selectors on Friday named a 15-man squad for the upcoming Asia Cup and World T20 tournaments.
Bangladesh, Nepal, India, Namibia, England, Pakistan, Sri Lanka and West Indies qualify for super league quarter-finals.