After you file

Was your state return Accepted?  You can double check your efile status here     <a rel="nofollow" target="_blank" href="https://turbotax.intuit.com/tax-tools/efile-status-lookup/">https://turbotax.intuit.com/tax-tools/ef...>

Then Check for a state refund     <a rel="nofollow" target="_blank" href="https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund">https://ttlc.intuit.com/qu...>
Make sure you are using the refund amount from your actual state tax return and not the combined amount Turbo Tax showed you at the end.  That was for federal and state combined.

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?