In the Headingley Test, James Anderson set up England's win by dismissing KL Rahul, Kohli and Cheteshwar Pujara in the first innings.
Virat Kohli has averaged 24.80 in the ongoing five-match Test series against England and has just one half century to his name.
Ashwin is just four wickets short of former Indian cricketer Harbhajan Singh, the second best Indian spinner in Tests behind Anil Kumble.
The Indian batsmen failed to make much of an impact, losing wickets at an alarming rate.
India did make a good comeback after being bundled out for just 78 in the first innings, but it was never going to be enough.
The duo remained unbeaten throughout the session and while India still trail over 200 runs, there would be some sort of confidence in the dressing room.
Joe Root has been in prime form in 2021 as he looks to overhaul some records in the calendar year.
Joe Root's 121 at Headingley was his sixth ton in 11 appearances since the turn of the year, equalling an England record previously shared by Denis Compton and Michael Vaughan.
The England skipper was the star of the day as he scored his third century in as many Test matches with a fantastic 121.
Day 2 of the third Test saw a calm and composed batting display from the English side, while the Indians bowlers had little joy in the middle.