You can check your e-file status, it will show if your return was accepted, rejected, or no return filed.

How do I check my e-file status?

Sign in to TurboTax to check your current status. You'll find it in Tax Home after sign in.

If you've got an Alexa device, you can enable it to check for you.

If you used TurboTax CD/Download you can check your e-file status by opening the File menu and selecting Check E-filing status or by opening your return, selecting the File tab, and selecting the Check E-file Status header.