India chased down a paltry target of 111 inside 19 overs.
The visitors recorded a 49-run win at Edgbaston to take an unassailable 2-0 lead in the three-match series.
Jos Buttler, Dawid Malan and Phil Salt hit centuries for the visitors.
Ashwin and Buttler will play for Royals, while Hooda and Krunal were bought by Lucknow Super Giants.
Royals chose Sanju as the first retained player for Rs 14 crore.
England are a brilliant team despite the absence of pace bowler Jofra Archer and all-rounder Ben Stokes, said the wicketkeeper-batter.
There is a good chance that pacer Mark Woods will return to the playing eleven in place of James Anderson, who could be rested after featuring in four games.
Buttler said he may also miss the end of the ongoing Test series with India due to his wife expecting their second child.
Even a change in captaincy couldn't bring in luck for SRH as they went down by 55 runs.
England made a mockery of a 337-run target, courtesy a six-hitting spree from Bairstow and Stokes, to level the three-match series.