TurboTax does not pay your tax due so we have no information about it. The program only transmits your preferred payment information to the state and IRS but only those tax authorities can initiate a transaction in your account.
Check to make sure your state return was accepted:
https://ttlc.intuit.com/replies/3300211
You would have to contact your state for information about the payment. Start with your state Department of Revenue website for contact information.