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/questions/1900884-what-are-my-options-for-getting-my-state-refund-or-for-paying-any-state-taxes-i-owe