After the bowlers ruled the roost with 17 wickets on the first day, it was the turn of southpaws Abhinav (162 batting, 212 balls) and Sudeep (114, 182 balls) to conjure up a 240-run partnership for the second wicket.
The Reds reached 344/3 at stumps after bowling out the Green team for 151 in their first innings with young Rajasthan pacer Nathu Singh picking up 6/53 in 12.4 overs of brisk fast medium bowling.
Mukund, who scored 77 in the first innings, looked more comfortable of the two at the outset as he played the trio of Ashoke Dinda, Ankit Rajpoot and Sandeep Sharma late from the crease relying on shots square of the wicket and the occasional upper cuts.
Sudeep was cautious initially before he opened playing a number pull shots.
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There were times the slowness also contributed as both had enough time to rock onto backfoot and hit on the on-side. Sudeep's familiarity having played Ojha and Dinda in Bengal nets also helped him.
Mukund hit 19 boundaries and completed his 22nd ton with a firm push through mid on for two runs off Rajpoot's bowling. He did get a couple of reprieves on 62 and 92 with rival captain Suresh Raina dropping him on both occasions.
Sudeep was finally gone when he was trapped leg before by Shreyas Gopal.
Yuvraj Singh hit a six and a four before being caught and bowled by Saxena.
Earlier, Nathu bowled a couple of perfect blockhole deliveries to complete a coveted five-for before wrapping up the innings with Saurabh Tiwary's (50) wicket.
Brief Scores: India Red 161 and 344/3 in 78 overs (Abhinav Mukund 162 batting, Sudeep Chatterjee 114)
India Green 151 in 45.4 overs (Saurabh Tiwary 50, Nathu Singh 6/53).