Tax refund issue with NY/NJ

My  formal office location was in the NY state,  but as most of people during the pandemic in 2020 and the project needs.  I was working either from home or in our NJ lab since Apr.  When I filed my returned, I based this fact and entered I worked in NJ  250 out of 365 days.   Them I filed all my returns (both NY and NJ), which  NY I should get like $2,000 refund while paid NJ around $1,700. In mid May, I received a notification from NY for the workday justification which I did and send the information electronically  to the NYS based on the facts I stated earlier. But, a week ago, NYS deposit around $500 to my bank account without any explanation of what's their base to make such decision or provide me any information/documentation on this.

 

What should I do from here  to get my tax money back either from NY or NJ ?