Yes, after completing your federal return, you will want to prepare the nonresident MA return. Once you have completed that, apportioning only your income that was earned from a Massachusetts source, you can begin work on your resident RI return.
After Rhode Island additions and subtractions to income and a few other screens, you will get to a screen for Other Rhode Island Tax Situations. Click on Taxes Paid to Other States. Your credit for MA income should be in there already. Note that the credit may not match the amount of the actual taxes you paid to MA because the credit does not exceed the amount that RI would have taxed on the same income.
If there is no credit for MA there, you may want to delete your RI state return and start fresh. Sometimes the credit will not transfer over if the resident return is started before the nonresident return.
