No, you will not see any update on the TT site if you mailed your tax return. TurboTax has no way to know that you put your return in an envelope and took it to a mailbox. Once you file, TurboTax receives no further updates from the IRS. About 4 weeks after you mail a tax return. you can check the status on the IRS site:
To track your state refund:
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**