Ravindra Jadeja equipped himself quite well, coming good with the bat and ball at critical junctures.
The Indian think tank believes that Ashwin is not a potent threat on the seamer-friendly tracks in England.
A number of former players have advocated for Ashwin's inclusion in the playing XI as he is yet to play in India's five-Test series.
India had picked all-rounder Ravindra Jadeja ahead of Ashwin, currently the second-ranked Test bowler, in the first two matches.
The 25-year-old said the quality of domestic players has improved in the men's game since the advent of the Twenty20 league and the same could be the case for women's cricket.
The 34-year-old premier spinner, who was player-of-the-series with 32 wickets in the four home Tests against England in February-March, bagged just one wicket in 43 overs he bowled against Somerset in a County Championship match.
Manjrekar recently said that he has a "few problems" when people call off-spinner Ravichandran Ashwin "one of the all-time greats of the game".
Manjrekar had earlier commented that Ashwin isn't an 'all-time great' as he hasn't done well in SENA (South Africa, England, New Zealand, Australia) countries.
Lyon, who has played 100 Test matches, is just one short of 400 wickets while Ashwin has taken 409 wickets in 78 Test matches.
Ashwin is an alumnus of PSBB School where the accused was teaching.