You can log into your TurboTax account to determine the status of your state tax return. If you have electronically filed, you will be able to check the status of your returns under the File menu.
See the following link for more details on how to check the status of your return.
How to check your e-file status
If the return shows up as being filed and accepted, you will need to contact the state agency directly. They may be taking longer to process returns in general or because of all the tax law changes that have occurred during this filing season.
How to track my state refund