Mukund, who began the fourth day at his individual score of 56, went on to make an unbeaten 132 to lead his side to 246 for four before declaring their second innings.
India A had scored a mammoth 554 for eight declared in their first essay, in reply to which the hosts had declared their innings at 424 for seven.
New Zealand A batsmen had faced just three balls in their second innings when the play was called off.
The two-Test series thus ended in a draw with no result coming in either of the matches.
Mukund began the proceedings on the final day in the company of Anustup Majumdar (32) with his placed at 119 for two.
Majumdar added just 24 runs to his overnight total when left-arm spinner George Worker caught him off his own bowling to give side the first of the two wickets that fell in the day.
Surya Kumar Yadav (6) joined his skipper in the middle but he was also scalped by Worker when he had the Indian caught by Andy McKay.
Mandeep Singh, who had scored a magnificent 193, continued in the same vein and supported Mukund with his unbeaten 14 off 34 balls.
Abhinav Mukund scores unbeaten 132, match and series ends in draw
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