After you file

TurboTax cannot track any type of tax refund.  Only estimates are given on the TurboTax Tax Home web page.

 

For the actual status of a tax refund you will have to use the IRS and State websites -

 

If the federal tax return has been filed and accepted by the IRS use the federal tax refund website to check the refund status - https://www.irs.gov/refunds
If the state tax return has been filed and 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