TurboTax would have no information concerning a tax return that you mailed to the IRS.
If you did not use a tracking service through the US post office you will not know for sure if the IRS received the mailed tax return.
Go to this IRS website for operational status - https://www.irs.gov/newsroom/irs-operations-during-covid-19-mission-critical-functions-continue
As of May 22, 2021, we had less than 100,000 individual tax returns received prior to 2021 in the processing pipeline. Including current year returns, as of May 22, 2021, we had 18.2 million unprocessed individual returns in the pipeline. Unprocessed returns include those requiring correction to the Recovery Rebate Credit amount or validation of 2019 income used to figure the Earned Income Tax Credit (EITC) and Additional Child Tax Credit (ACTC). This work does not require us to correspond with taxpayers but does require special handling by an IRS employee so, in these instances, it is taking the IRS more than 21 days to issue any related refund. If, as a result, a correction is made to any RRC, EITC or ACTC claimed on the return, the IRS will send taxpayers an explanation. Taxpayers are encouraged to continue to check Where’s My Refund? for their personalized refund status and can review Tax Season Refund Frequently Asked Questions.
If you filed on paper, check Where’s my refund? If it tells you we have received your return or are processing or reviewing it, we are processing your return, but it may be under review. We’re working hard to get through the backlog. Please don’t file a second tax return or contact the IRS about the status of your return.
