This reference explains CT's policy regarding taxation of non-residents who work in CT:
https://portal.ct.gov/DRS/Withholding-Taxes/Nonresidents-who-work-in-Connecticut
100% of your income is taxable by NJ, regardless of where you earned it.
You'll be able to claim a credit on your NJ return for the taxes paid to CT on the portion of your income that is taxed by both states, so you won't be double-taxed.
In the Personal Info section of TT, enter NJ as your State of Residence, and indicate that you had Other State Income from CT. Do not indicate that you lived in both states.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
