You need to explain the situation a little more.
Do you have a logbook that has the NZ hours listed?
Is this logbook signed off or otherwise authenticated by the NZ school before you left?
Do you have a copy of your training records?
Do you have all your invoices from the school backing up your claims?
I assume under DGCA rules they can only accept 40 hrs of your training since you have not completed the CPL course in NZ.
If you have reasonable evidence you have flown these hours it should not be a problem to continue in the USA.
Get a validation based on you NZ PPL, do your FAA Instrument rating and continue for the CPL. assuming you have approximately 150 hrs now you dont really need that much more;
- Transition to different type and avionics and airspace 10 hrs
- Instrument rating 50 hrs
- CPl SE training 20 hrs
- CPL ME training 20 hrs ( 15 airplane and 5 simulator)
If your time building that you have done in NZ meets all the US CPL criteria as far as distance and duration you're fine.
Read here about license validation:
Converting EU/USA