If your state return keeps rejecting, be sure to read the rejection email from TurboTax carefully to see what steps you need to take to fix it . You can also view the reject code in TurboTax after signing in and selecting Fix my return.
If it's an error related to a tax form like a 1099 or W2, you may want to try deleting the form and re-entering it.
For more information, please see this TurboTax Help Article: What does my rejected return code mean and how do I fix it?
If you are unable to get the reject fixed, you will need to mail in your state return. Please see How do I file my return by mail?