You have to file each year separately. So you will need 4 programs. You can only do 2020 personal return online. You will have to buy the other desktop programs.
FOR PARTNERSHIP RETURNS
The small business program (TT Business) is for 1120 Corporation, 1120S Corp, 1065 Partnership or 1041 Estate/Trust returns and will not do your personal 1040 return. It is a separate program from the Desktop Home & Business program or the Online Self Employed version.
Home & Business (or Self Employed) is for personal returns that include a schedule C for self employment or sole proprietor. A single owner LLC would be reported on Schedule C unless the LLC elected to be treated as an S corp or C corp.
You will get a schedule K-1 (or a W2) from the business return to manually enter into your personal 1040 return.
Turbo Tax Business is not available to do online or on a Mac. You can buy the Window version here. And you can have both TT Business and TT Home & Business (or any personal version) installed on your computer at the same time.
You can buy prior year Business programs here (last one on the right).
Window System Requirements
FOR PERSONAL RETURNS
For 2020 you can use the Online version or buy the CD/Download Desktop program.
You can start an Online return here,
You can see the Desktop programs here,
FOR 2019 PERSONAL
To do a prior year return you have to buy the Desktop program here,
Note that a penalty is assessed against the Partnership if it is required to file a partnership return and it (a) fails to file the return by the due date, including extensions, or (b) files a return that fails to show all the information required, unless such failure is due to reasonable cause.
The penalty is $210 for each month or part of a month (for a maximum of 12 months) the failure continues, multiplied by the total number of persons who were partners in the partnership during any part of the partnership's tax year for which the return is due.