If your Turbo Tax account says your return was Accepted then the state got it. They might be asking for the tax due payment. Did you have a state tax due?
Your only proof of payment is your bank statement or credit card showing the payment coming out. Turbo Tax only passes your bank account number to the state for the state to take it out of your account. But most states do not let you pay by Direct Debit so you have to mail in a check or go directly to the state's website to pay. And better double check your bank account and routing number with your bank. Some banks use a different routing number for deposits and payments.
Check the printout or PDF of your return; look for the state cover sheet with the Turbo Tax 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.