After you file

The online fees are to prepare the returns whether you have  tax due or refund.  Once Turbo Tax transmits your return they are done with their part.  They are not involved with getting your refund.  That's between you and the state.  Was your state return efiled and accepted?

 

Double check your efile status here

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

 

When you efile you get back 2 emails.  The first email only confirms the transmission.  The second email says if the IRS (or state) Accepted or Rejected your efile.

 

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 for state?