Since the 3 match T20I dominated completely by the Indian team even though the big names are missing still you expect the same thing to happen so this is some kind of revenge for what happened in T20 world cup super12.
Don't be so sure because Newzealand is a far better test playing team them a one-day or t20 team. Don't forget that Newzealand is the test cricket champion of the world. So I think India has their work cut out in the test matches.
I think India will have to work hard here to win against New Zealand in test matches, because you know New Zealand has always been better in the test format more than the other two formats of cricket. So I think India has to be careful and not get very overconfident. But depending on the situation. Actually, I think India will win.
Most chances they are going to win this series by 2 - 0 because they are in very good touch with new energy and new coach all in their favors.