The state must cooperate with the Federal Govt before it processes any tax payments. Therefore, since the IRS is shut down for the most part, and has been operating with limited capacity, the states will also be delayed until they can verify tax information with the IRS.
To check the status of an e-filed return, open up your desktop product or log into your TurboTax Online Account. You can find your status within the TurboTax product.
If accepted by the state use this TurboTax support FAQ to check the state tax refund status - https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund