Yes, the sale of your Rhode Island home will be reported on your federal return and will transfer to your state returns. Since you worked all year in Massachusetts, you will need to file a nonresident return for MA. Prepare this return first (after federal) so that you get credit for any taxes paid to MA on your resident returns. Instructions are in the link.
Since you moved during 2020, you will complete 2 part-year resident returns, one for Rhode Island and one for Connecticut. Since the property sold was in Rhode Island, it will be reported on the RI part-year return. For more information on allocating your income between resident states, please see the link below.
Where do I enter the sale of my home and is it taxable?
How do I allocate (split) income for a part-year state return?
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