After you file

Was your state return Accepted?  Double check your efile status here

https://turbotax.intuit.com/tax-tools/efile-status-lookup  

 

When you log into your account you should also see the status and if it was Accepted or Rejected, Started, Printed, Ready to Mail, etc.  what does it say?

 

Check for a state refund  https://ttlc.intuit.com/community/refund-status/help/how-do-i-track-my-state-refund/00/25571