Before Gaikwad, Virat Kohli (Delhi), Devdutt Padikkal (Andhra Pradesh), and Prithvi Shaw (Mumbai) had accomplished the feat.
Prithvi Shaw made his presence felt with a fantastic performance but it was not enough as MS Dhoni showcased his ability to deliver under pressure.
Prithvi Shaw and Rishabh Pant showcased their ability to emerge as game-changers yet again against Chennai Super Kings.
Srikar Bharat ended the match with an unbeaten 78 off just 52 deliveries and constructed a 111-run stand with Glenn Maxwell who scored 51 off 33.
Dhawan, who is one of the leading run-scorers of the IPL so far, made 43 runs while Shaw missed out on his half-century, scoring 48 runs.
Suryakumar Yadav and Prithvi Shaw will be leaving to join the Indian contingent that is scheduled to face England in a 5-match Test series.
The players will undergo further tests and if all results are clear, the second T20I is expected to be played at the R. Premadasa Stadium in Colombo on Wednesday.
India have called up Suryakumar Yadav and Prithvi Shaw as replacements for the tour of England.
India beat Sri Lanka by 7 wickets on Shikhar Dhawan's captaincy debut to take a 1-0 lead in the three-match series.
Rahul Dravid has worked with almost all the youngsters in the 20-man squad.