I need to file state taxes from 2020 and state and federal for 2021 and 2022 is this possible if so what would the cost be?

[xmasbaby0]

Did you use TurboTax to file your 2020 federal return?   If you did then you can use the CD/download for 2020 to prepare a 2020 state return.  If you did not use TT to prepare your federal 2020 return you will not be able to use TT for  2020 state return.  State returns cannot be prepared as "stand alone" returns.  The information flows from the federal return you prepare here and goes to the state return.

You could use the state's tax forms to prepare a 2020 state return.

https://ttlc.intuit.com/community/state-taxes/help/how-do-i-contact-my-state-department-of-revenue/0... 

Online preparation and e-filing for 2019 and 2020 and 2021 is permanently closed.

To file a return for a prior tax year

 If you need to prepare a return for 2019, 2020 or 2021 you can purchase and download desktop software to do it, then print, sign,  and mail the return(s)

https://turbotax.intuit.com/personal-taxes/past-years-products/

You may also want to explore purchasing the software from various retailers such as Amazon, Costco, Best Buy, Walmart, Sam’s, etc.

Remember to prepare your state return as well—if you live in a state that has a state income tax.

https://ttlc.intuit.com/community/state-taxes/help/how-do-i-contact-my-state-department-of-revenue/0... 

When you mail a tax return, you need to attach any documents showing tax withheld, such as your W-2’s or any 1099’s.  Use a mailing service that will track it, such as UPS or certified mail so you will know the IRS/state received the return.

Federal and state returns must be in separate envelopes and they are mailed to different addresses.  Read the mailing instructions that print with your tax return carefully so you mail them to the right addresses.

Note:  The desktop software you need to prepare the prior year return must be installed/downloaded to a full PC or Mac.  It cannot be used on a mobile device.

If you are getting a refund, there is not a penalty for filing past the deadline.  If you owe taxes, the interest/penalties will be calculated by the IRS based on how much you owe and when they receive your return and payment. The IRS will bill you for this; it will not be calculated by TurboTax.

[TomK2023]

You can not use this year's tax software for 2022 tax returns to file returns from earlier years.

To file a new prior-year return, you'll need to purchase and download that year's TurboTax software for PC or Mac, as TurboTax Online and the mobile app are only available for the current tax year. (Note: Returns for tax years 2018 and earlier are no longer eligible to be filed through TurboTax.)

Prior-year returns must be paper-filed, as e-filing is no longer available for them. We'll walk you through that process when you get to the File section in the software.

After installing the software, open it and follow the onscreen instructions to file your return.