Your state tax is based on where you live and work, not where your employer is located. A few states tax remote workers, but Massachusetts is not one of them.
“Beginning September 15, 2021, employees working remotely outside of Massachusetts should have wages reported and taxes withheld to the state where they are physically performing services.”
See Supreme Court and State Remote Worker Tax
if you moved to Rhode Island, you are only taxed by Massachusetts for the time you lived in MA. That’s why your employer withheld RI tax. Rhode Island began taxing you when you moved there.
Massachusetts starts with federal income which includes Rhode Island income. That’s why you must subtract your non-Massachusetts income in the Massachusetts section of TurboTax.
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