Rahul made batting look easy with six boundaries and three sixes in his 24-ball-51 while Kishan was retired hurt after a chiselled 70 off 46 balls that had three sixes apart from seven boundaries as India chased a target of 189 with an over to spare.
The ECB has also decided to do away with their old process of announcing separate red and white-ball contracts, announcing instead a single contracts list for players across formats.
The top seven batsmen led by England's Dawid Malan maintained their rankings while South African keeper-batter Quinton de Kock is now ranked eighth while West Indies Evin Lewis has dropped a place to be ninth in the list.
The India pacers were better than their English counterparts in the recent intensely-fought Test series and the visitors were leading 2-1 before the fifth match was called off following multiple COVID-19 cases in the Indian camp.
The England and India players were supposed to fly into UAE from Manchester together in a bubble to bubble transfer but COVID-19 cases in the visitors'' camp forced IPL teams to make their own arrangements.
Here are the best moments from Day 2 of the third Test between India and England
India vs England: Dawid Malan says visitors' bowlers asked a lot of questions but didn't get much help from wicket
Malan, playing his first Test in three years, hit a splendid 70 and added 139 runs for the third wicket with skipper Joe Root as England reached 423 for 8 at stumps on Day 2 to take a massive lead of 345.
India vs England: Joe Root produces another batting masterclass to put hosts in command in third Test
Root as usual was a delight to watch, scoring runs at will and all around the wicket. His 14 boundaries included his trademark punch through the cover, which brought about his fifty before he flicked one between mid on and midwicket to get to three figures.
India would look to carry forward the aggression and intensity from the Lord's Test and maintain the stranglehold while England's primary challenge would be to recover mentally from loss and hit the refresh button as both teams head into the Headingley Test.
The two teams will clash in the third Tests starting on Wednesday with India leading 1-0 in the five-match series.
India vs England: Joe Root looking at 'substantial' partnerships in bid to bounce back after Lord's defeat
Root, who is the leading run-scorer of the series so far with 386 runs, has been involved in six fifty-plus partnerships this series, with four of them coming in the second Test.
India vs England: Virat Kohli's passion for Test cricket bodes well for format, says Kevin Pietersen
Pietersen feels Kohli pushes himself to follow the footsteps of his heroes such as Sachin Tendulkar and Rahul Dravid, who themselves are legends of the format.
India vs England: Hosts drop opener Dom Sibley after poor performances, recall Dawid Malan for third Test
India are 1-0 up in the five-match series after a 151-run win in the second Test at Lord's where Sibley made scores of 11 and nought as his average dipped to 19.77 in 10 Tests this year.
Highlights, England vs Pakistan1st T20I at Trent Bridge, Full cricket score: Azam's 85 seals visitors' victory
Follow live score and updates from the first of the three T20Is between England and Pakistan on our blog.
England vs Pakistan: James Vince's ton outshines Babar Azam's as hosts win 3rd ODI by three wickets and sweep series
Set a challenging 332 to win 50-over world champions England, without most of their first-choice players because of a pre-series Covid outbreak, were faltering at 165-5.
Player of the Match Mahmood took an ODI best 4/42 as Pakistan were skittled out for just 141 with more than 14 overs left to bat.
The wicketkeeper-batsman, who scored 68 not out in England's win on Wednesday, had an MRI scan the following day, which revealed a small tear.
Highlights, England vs Sri Lanka, Full Cricket Score, 1st T20I at Cardiff: Hosts secure comfortable win
Follow live score and updates from the 1st T20I between England and Sri Lanka on our blog.
Being constantly exposed to Indian conditions in IPL will benefit England in T20 World Cup, says Ben Stokes
This year, there are 14 England cricketers contracted to play IPL, including white-ball skipper Eoin Morgan, Jos Buttler, Stokes, Johnny Bairstow, Moeen Ali, Sam Curran, Tom Curran, Sam Billings, Liam Livingstone and Dawid Malan.
'Don't want to go toe-to-toe with players on IPL participation', says England's director of cricket Ashley Giles
The former spinner, who played 54 Tests, 62 ODIs between 1997-2006, feels any standoff with the players on the matter could have dangerous implications for England cricket.