In the Personal Info section of TT be sure you enter NH as your State of Residence and indicate that you had other state income from MA.
MA taxes non-residents only on income from work actually performed within MA. In your case that is 2 days out of 5, or 40%. Thus you would allocate 40% of your work income to MA when you do your MA non-resident tax return. See the instructions for Line 13 on page 14 of the MA tax instruction booklet:
https://www.mass.gov/doc/2023-form-1-nrpy-instructions/download
The amount of your refund from MA will be determined by your actual tax amount due vs your MA taxes withheld.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
