After your return has been filed, when you login, your e-file status should be the first thing you see. When you sign in to TurboTax, do you see the orange Take me to my return button? If so, most likely you have not e-filed.
After you've filed, you may go to the IRS site Where's My Refund to check the status of your refund. Or, if you're using a mobile device, you can download the IRS2Go app to check your refund status.
To track your state refund, you may reference this TurboTax FAQ.