Your only proof is your bank account statement or credit card statement showing the payment coming out.  And Turbo Tax doesn't pay any tax due for you.  Turbo Tax just sends your payment method to the state.   You either put down your bank account number for the state to pull it directly out of your account or you needed to mail in a check.  Most states don't let you pay by direct debit.  Did you check your bank account to see if it came out?  You should have an instruction sheet telling you how to pay it.

Oh, and you can't have a state tax due deducted from your federal refund.  Never.  You can only have the Turbo Tax fees deducted from your refund.  

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-fo...

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@dem88tax wrote:
I opted to pay this amount through my federal return on turbo tax. what should I do?

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You should pay the amount that you owe to the state. You misunderstood something that you saw in TurboTax. There is no way to pay your state tax from your federal refund.

TurboTax shows you a summary of your federal and state refunds or amounts due, and it shows a net amount. But that is just to show you where you stand overall. It does not mean that the state tax due will be paid out of the federal refund. You get your full federal refund, and you have to pay the amount you owe to the state. You might have chosen to have your TurboTax fees paid from your federal refund, in which case the federal refund would be reduced by the amount of the fees. But you cannot have your state tax paid that way.