In the second game, medium pacer Tushar Deshpande picked up 4-27 in three overs as Hyderabad was bowled out for 134 runs in 18.5 overs in pursuit of Chennai’s imposing 212-3.
Gaikwad followed up his century in the previous game with another big score. He hit 10 fours and three sixes and anchored his side to a 200-plus total again.
Daryl Mitchell found form to score 52 off 32 balls, adding 107 off 64 with Gaikwad.
Hard-hitting Shivam Dube provided the finishing touch with a brisk 39 not out.
Despite dewy conditions, Hyderabad’s batting lineup crashed for a second time running when faced with a 200-plus target.
Travis Head was out for 13 and Abhishek Sharma dismissed for 15. Both fell to Deshpande, who also had impact player Anmolpreet Singh caught for a golden duck.
Hyderabad was down to 40-3 in 3.5 overs and never recovered from the early blows.
Aiden Markram was the top-scorer with a 26-ball 32. Heinrich Klaasen could only manage 20 off 21 balls.
Pacers Mustafizur Rahman (2-19) and Matheesha Pathirana (2-17) added to the damage.
Chennai returned to winning ways after losing its last two games and is back in the top four with 10 points from nine games. It trails second-place Kolkata Knight Riders on net run-rate.
It was the Sunrisers’ second consecutive loss and it moved down to fourth, ahead of Lucknow Super Giants and Delhi Capitals on run-rate with all three teams also on 10 points each.