Cavill confirmed in April that he and girlfriend Natalie Viscuso are expecting a child
His team dominated New Zealand with bat and ball to avenge an 80-run loss in the opening fixture in Wellington - India's heaviest ever T20 defeat.
Sharma, who is standing in as captain while Virat Kohli is rested, had demanded greater consistency ahead of the match.
Colin de Grandhomme gave the Black Caps some hope, hitting a maiden T20 half-century off 27 balls as part of a 77-run partnership with Ross Taylor, who made 42.
India had no such problem in reply, making a flying start with Sharma leading the way.
The final match of the series is at Hamilton on Sunday.Easy win
New Zealand
T. Seifert c Dhoni b Kumar 12
C. Munro c Sharma b K.Pandya 12
K. Williamson lbw K.Pandya 20
D. Mitchell lbw K.Pandya 1
R. Taylor run out (Shankar) 42
C. de Grandhomme c Sharma b H.Pandya 50
M. Santner b Ahmed 7
S. Kuggeleijn not out 2
T. Southee b Ahmed 3
Extras: (lb 1, wd 8) 9
Total: (for 8 wickets; 20 overs) 158
Fall: 1-15, 2-41, 3-43, 4-50, 5-127, 6-153, 7-154, 8-158
Bowling: Kumar 4-0-29-1 (3w), Ahmed 4-0-27-2, H. Pandya 4-0-36-1 (4w), K. Pandya 4-0-28-3, Chahal 4-0-37-0 (1w)
India
R. Sharma c Southee b Sodhi 50
S. Dhawan c de Grandhomme b Ferguson 30
R. Pant not out 40
V. Shankar c Southee b Mitchell 14
MS Dhoni not out 20
Extras: (lb 1, wd 5, b 2) 8
Total: (for 3 wickets; 18.5 overs) 162
Fall: 1-79, 2-88, 3-118
Bowling: Southee 4-0-34-0 (1w), Kuggeleijn 3.5-0-32-0 (1w), Ferguson 4-0-31-1 (1w), Santner 2-0-16-0, Sodhi 4-0-31-0 (2w), Mitchell 1-0-15-1
Toss: New Zealand
Result: India win by seven wickets
Series: Three-match series level 1-1
Umpires: Wayne Knights (NZL), Chris Brown (NZL)
TV Umpire: Shaun Haig (NZL)
Match referee: David Boon (AUS)
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