You are confused. You can pay for your TurboTax fees from your federal refund if your federal refund is enough for the fees plus the EXTRA "refund processing fee" of $40 ($45 in CA). You cannot pay tax owed to your state from a federal refund. If you owe tax due to the state, it must be paid using the state's preferred method of payment.
How can I see my TurboTax fees?
https://ttlc.intuit.com/questions/2565973-how-do-i-review-my-fees-in-turbotax-online
What is Refund Processing Service?
You must pay your state tax due using the state’s preferred method of receiving payment. For most states that will be by making a payment to the state’s own tax website, or by mailing a check or money order.
https://ttlc.intuit.com/questions/1901670-how-do-i-contact-my-state-department-of-revenue
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**