No taxing authority accepts "turbotax payment". One reason is because turbotax doesn't pay taxes for anyone, and you can't pay your taxes "through" turbotax either. Filing your taxes and paying your taxes are two completely separate things. At best, you can use the program for most states (not all) to have the taxing authority debit your credit card or bank account directly. But absolutely nothing in the way of taxes is paid "through" turbotax, ever. TurboTax does not act as an intermediary for taxes you may owe to any taxing authority at tax time.
See the answer for this issue here, it has screen shots -
Payment of NC state taxes owed should have been paid using the payment voucher with the payment being mailed to the state. Or you could have used the state website and chose either direct debit or credit card to pay the taxes owed - http://www.dornc.com/electronic/d400v.html