Kohli's third century in his last four matches and 116 by opener Shubman Gill powered India to 390-5 in Thiruvananthapuram, Kerala.
Suryakumar Yadav, the world's leading Twenty20 batsman, said on Saturday he was thriving in his role as a "game-changer" after smashing a blazing century in India's series-clinching 91-run win over Sri Lanka.
Kuldeep, who was the only change in the team from India's opening win, and fast bowler Mohammed Siraj took three wickets each to bowl out Sri Lanka for 215 in 39.4 overs in Kolkata.
A bowling attack led by Jasprit Bumrah helped India thrash Sri Lanka by 238 runs inside three days at Bangalore's pink ball Test to sweep the series 2-0 on Monday.
Bumrah claimed 5-24 as Sri Lanka was bowled out for only 109 in its first innings — after resuming Day 2 on 86-6 — conceding a 143-run lead to India's first-innings 252.
The hosts swept the two-match series in Galle 2-0 with their 100th Test win and maintained the tourists' 100 per cent losing record in cricket's longest format.
The left-armer reached the milestone on day five against Ireland, only Jayasuriya's seventh Test, when he had first-innings centurion Paul Stirling caught by a diving Kusal Mendis at short extra cover.
The India Express called it a "Booster shot before World Cup" and praised what it called the team's "clinical and ruthless" performance. "Triumph lifts India's morale... just in time for the mega-event," it added, referring to the World Cup, which starts on Oct.5.