TurboTax gets no feedback from the IRS after you file your tax return. What tax year are you asking about? If you mailed it in June 2020 it sounds like you are asking about your 2019 return. A 2020 tax return would have been filed in 2021 or later.
It is too late to receive a refund for a 2019 return if you did not file it successfully. If your 2020 return was not filed successfully you have only until Friday, May 17, 2024 to get it into the mail or you forfeit the refund.
Does the IRS show a transcript for tax returns for you for 2019 or 2020? It seems like you do not even know if the IRS received your mailed return.
https://www.irs.gov/individuals/get-transcript
To call the IRS:IRS: 800-829-1040 hours 7 AM - 7 PM local time Mon-Fri
Listen to each menu before making the selection.
First choose your language. Press 1 for English.
Then do NOT choose the first choice re: "Refund", or it will send you to an automated phone line.
Instead, press 2 for "personal income tax".
Then press 1 for "form, tax history, or payment".
Then press 3 "for all other questions."
Then press 2 "for all other questions." It should then transfer you to an agent.