Income tax

Double check your bank account and see what/who was paid and if the payment went through.  Then only the state can tell you if they got your payment.

Check the printout or PDF of your return; look for the state cover sheet with the Turbotax logo.  If you owed tax, it will show the payment information and how/when you decided to pay.  Read the state payment instructions carefully since most states cannot be paid from within the TT system and requires additional steps.

https://ttlc.intuit.com/community/refunds/help/what-are-my-options-for-getting-my-state-refund-or-for-paying-any-state-taxes-i-owe/00/25954

Or you paid but your return wasn't filed?  Did it reject?  

Did you efile the state?  Maybe you didn't finish filing it.  Was your state return 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?

If it didn't go through you can try to efile it again or you will have to print and mail it.  Did you efile federal?  Was it Accepted?    How to file state after federal

https://ttlc.intuit.com/community/e-file/help/how-do-i-e-file-my-state-after-i-already-filed-my-federal/00/26811