State tax filing

You don't indicate that on the NY return. You have to complete a CT return.

 

Check out this article for the Taxslayer program.

 

https://support.taxslayer.com/hc/en-us/articles/360015704432-What-Credit-is-available-for-Taxes-Paid...

 

  Did you commute back and forth every day to CT for work and back home to NY ?  Or did you actually live in CT while you were working there?