Turbo Tax will always say tax due (or refund). That is just the state of your return when you filed it. Turbo Tax is not updated when you pay the tax or get the refund. The IRS and state do not tell them when they get your payment. Once Turbo Tax efiled your return they are done with their part.
How did you pay it? Your only proof of payment is your bank or credit card statement showing it coming out. Turbo Tax does not pay it. They only send your bank info to the IRS or state for them to pull it out of your account. Turbo Tax won’t know if or when you paid it.