The amount of taxes owed shown on the TurboTax Tax home website will not change since TurboTax has no way to know if or when you paid the taxes.
To check the status of an e-filed return, open up your desktop product or log into your TurboTax Online Account. You can find your status within the TurboTax product.
If accepted by the state use this TurboTax support FAQ to check the state tax refund status - https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund
