If you chose to e-file your federal return on the File section then yes your federal is e-file even if you mail the state tax return.
When you sign in again to TurboTax the screen you get when you have e-file is the Federal return status.
If you e-filed your tax return you can check the e-file status with this link: https://turbotax.intuit.com/tax-tools/efile-status-lookup/
