I did same mistake and hope it will be not returned back to my address. :(

Hi!

Realized I did the same thing.

Did they send it back to you?

Please go and verify your CRA " My Account" which will show you if it was successfully received. If yes, then all is well. 

Thank you for choosing TurboTax

Hey I am in the same boat. Mailed my tax returns last week and realized that I had not signed it. How did CRA proceed with your return?

As a first time filer, there is no access to My Account. Any notes on the next steps?

I mailed my paper return last week without signature. There is still a week left till the deadline. Should I submit the entire return again, this time with signature?

The date the return was received is noted at the Canada Revenue Agency (CRA). If your signature is absolutely required the CRA will contact you. If there was a barcode on your printed return, this includes the agreement that you have electronically accepted (signed) this return to be true to the best of your knowledge and want the CRA to assess it.

Thank you for choosing TurboTax.