Confused about non-resident reurn

[Jenya]

I live in New York and work for a company based in Connecticut. It was a W-2 job, and my taxes were withheld toward CT state. I added my W-2 and calculated the credits toward the NY bill, but when I go to file CT taxes, it says that I owe $500 to CT.
I'm confused because it means I must pay taxes in both states. Is this the case? If not, how do you do it properly? 

[MaryK4]

On your Connecticut nonresident return, make sure you indicated that only your W2 wages are Connecticut state wages.  If you still owe taxes, you may need to adjust your state withholding with your employer for 2025.  For New York, make sure that you completed the Credit for Taxes paid to another state- depending on if you had other income, you may still owe New York but it it unlikely if you only had the W2 income and have the credit applied correctly.