Was your state accepted? You can 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/efile-status-lookup/</a>
Or does your account say Printed or Ready to Mail or Started when you log In?
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/questions/1899433-how-do-i-track-my-state-refund</a>
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.
Each state handles its own refunds and processes returns at different times. Keep in mind that most dates are estimates and refunds can be delayed for many reasons. If you're concerned, contact your state department of revenue at the link given below. Click on your state for contact information:
How do I contact my state Department of Revenue?