If you used TurboTax to prepare the 2021 return, then your online account should tell you if your 2021 state return was filed and accepted, and your account should show whether you were supposed to receive a state refund or if you owed tax due to the state. TurboTax will not know, however, if you actually received the refund or paid the state; TT never gets information from the state after you file so only your own bank or credit card records would show if you paid your tax due or received a refund.
As suggested by another user---it would be helpful to know what state you are talking about. We do not know which line of the return you need to look at. There are thirty-seven states with a state income tax, and their forms are all different. We cannot direct you to a line on the state form unless we know the state.
Edited for additional comment: Whatever state return form you are looking at, the tax due amount or the refund amount is going to be near the bottom of the form.
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**
