After you file

Does Where's My Refund?  say Pending, Processing, or do you actually see the words, "still needs to be accepted after 24 hours"?  You should have received 2 emails from TurboTax after you filed. 

The first would say something like:

You’re almost there

Be sure to keep an eye on your inbox to see if your return is accepted or rejected.

The second would say:

GREAT NEWS!!   <Your name>

Your Federal return was accepted by the IRS

You would have received 2 similar emails if you filed a state return also.   Keep those emails, those are your written proof that you filed and that your return was accepted.