To know how to filed it, If you mailed your you would have had to print the return and mailed it in yourself. If you electronically filed the return using TurboTax Online, it'll show your return status on the Tax Home screen. You should have also received an email informing of your return status.
If you go back to your account and it doesn't show that you filed, you can follow the steps in the following TurboTax help article to e-file your return:
E-filing is faster, safer, and more efficient that filing by paper. For more information see the following articles.
E-file: Income Tax Return Electronic filing