Millions of e-files have been backlogged on servers for weeks. This week the IRS began to accept/reject e-files. When yours makes it through that pipeline, you will get an email.
When you e-file your federal return you will receive two emails from TurboTax. The first one will say that your return was submitted. The second email will tell you if your federal return was accepted or rejected. If you e-filed a state return, there will be a third email to tell you if the state accepted or rejected your state return.