In the PDF of your TurboTax return, the last page of the federal return is an "electronic postmark" that shows your name, Social Security number, the date and time that you e-filed the return, and the date that the IRS accepted it.
When you efile you get back 2 emails. The first email only confirms the transmission. The second email says if the IRS (or state) Accepted or Rejected your efile.
For Online, When you log into your account you should also see the status and if it was Accepted or Rejected, Started, Printed, Ready to Mail, etc. what does it say? If it says Ready to Mail that means you are suppose to print and mail your return to the IRS.
To check the filing status in the Desktop program,
In the Desktop program open your return and go up to menu item
File > Electronic Filing > Check Electronic Filing Status
