Used TT online last yr for 2023 taxes. Paid for fed, state & local filing, but now it turns out my taxes weren't filed. TT can't tell me why. Will they refund me?

Paying the TurboTax online account fees does not file a tax return.  Then you either e-file the tax return or you print the tax return for mailing.

You complete your tax return by finishing all 3 Steps in the File section. In Step 3, to e-file your tax return, you must click on the large button labeled "Transmit my returns now".

After completing the File section and e-filing your tax return you will receive two emails from TurboTax. The first email when your tax return was transmitted and the second email when the tax return has either been accepted or rejected.

To access your prior year online tax returns sign onto the TurboTax website with the User ID you used to create the account - https://myturbotax.intuit.com/

Start the 2024 online tax return by entering some personal information then click on Tax Home on the left side of the screen.

On the Tax Home webpage -

Scroll down to the section Your tax returns & documents.  Click on the Year 2023 and Click on Download/print return (PDF) 

Print, sign, date and mail your tax return to the IRS.  Include with the tax return any forms W-2 and 1099 which have taxes withheld.

Go to this IRS website for the address to mail a federal tax return, by state, with or without a tax payment - https://www.irs.gov/filing/where-to-file-paper-tax-returns-with-or-without-a-payment