I paid my federal and state taxes when I filed tonight. It was accepted a bit ago and when I just checked it said that the amount that I had paid was still due?

Why does my TT account say I still owe tax due?

TT does not update after your return has been accepted.  Your account will always show the result of the return you prepared using the software.  TurboTax never knows if you received your refund —or how, when or even if you paid tax due.  Your proof that you paid your tax will be your own bank/credit card records.