As soon as you login after filing your return, the first thing that you will see is your status of the returns.
How do I check my e-file status?
After e-filing, simply re-open your return or sign back in to TurboTax. Your e-file status should be the first thing you see.
If you don't have access to your TurboTax return, you can also check your status online.
https://ttlc.intuit.com/questions/1908859-how-do-i-check-my-e-file-status