Did you mail them or efile them ?

Did you e-file your tax return and was it accepted?
Only the IRS and your State control when and if a Federal or State tax refund is Approved and Issued.

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 Orange 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.

Note - Once a tax return has been Accepted by the IRS or a State, TurboTax receives no further information concerning the tax return or the status of any tax refund.  Only the taxpayer listed on the tax return can obtain the status of a tax refund or a tax return.

To check the status of an e-filed return, open up your desktop product or log into your TurboTax Online Account. You can find your status within the TurboTax product.
If accepted by the IRS use the federal tax refund website to check the refund status - https://www.irs.gov/refunds
If accepted by the state use this TurboTax support FAQ to check the state tax refund status - https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund

If you mailed in the return then prepare for a long long wait ... paper returns are taking 6 months or much much longer to process again this year.  And until the envelope is opened  and the data input operator enters it in the system the WMR?  tool will not even show it in the system for processing.   Check this tool once a week until you see it in processing :  https://www.irs.gov/refunds

Taxpayers Who Filed Paper Returns Could Wait 6 Months for a Refund (businessinsider.com)

@rajusnair - beyond the advice already offered by @Critter-3 , here is what the IRS asks: 

https://www.irs.gov/newsroom/irs-operations-during-covid-19-mission-critical-functions-continue#coll...

How long you may have to wait: The IRS understands the importance of timely processing of tax returns and refund issuance. We have processed all error free returns received prior to October 2021 and continue to work the returns that need to be manually reviewed due to errors.  We are continuing to reroute tax returns and taxpayer correspondence from locations that are behind to locations where more staff is available, and we are taking other actions to minimize any delays. Tax returns are opened and processed in the order received. As the return is processed, whether it was filed electronically or on paper, it may be delayed because it has a mistake including errors concerning the Recovery Rebate Credit and the Child Tax Credit, is missing information, or there is suspected identity theft or fraud. If we can fix it without contacting you, we will. If we need more information or need you to verify that it was you who sent the tax return, we will write you a letter. The resolution of these issues could take 90 to 120 days depending on how quickly and accurately you respond, and the ability of IRS staff trained and working under social distancing requirements to complete the processing of your return.

What you should do: In most instances, no further action is needed but you may check Where’s My Refund? or you can view your account. If you filed electronically and received an acknowledgement, you do not need to take any further action other than promptly responding to any requests for information. 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. If you filed before October 2021 and Where’s My Refund? does not have any information, your return has been opened but work on it has not begun. We’re working hard to get through the carryover inventory. Please don’t file a second tax return or contact the IRS about the status of your return.

IRS continues work on inventory of tax returns; original tax returns filed in 2021 to be completed t...

@rajusnair - the IRS processes everything in the order received; tax returns from a prior year don't get any sort of prioritization.  The article @SweetieJean posted above suggests that anything RECEIVED prior to January 1, 2022, regardless of tax year will have been processed by the end of this week.

that means the IRS will begin tackling returns received in 2022 next week - and most of those are paper submissions