When you look at your W-2 form, under box 15, which state does it list for wages and state withholdings? If your employer reported the wages as only being from Massachusetts (MA), you probably did not have anything withheld from Connecticut (CT). Or if they only reported wages from MA, then the income earned in CT might not have had any taxes withheld at all.
You need to file a nonresident CT tax return if you had any CT income tax withheld or if you met the CT sourced income that meets the gross income test. Since you worked in CT, you would have met the gross income test assuming you worked there all year. Please see this link for more information.
For Massachusetts, you are required to report income earned everywhere. Then you would be entitled to a credit on your MA state return for the income taxed twice, once by Connecticut, then reported again in MA. But the income reported in MA is offset by the credit for taxes paid to Connecticut.
Please review your return for Massachusetts and see if your copy includes an amount on Line 30 of your Form 1 from Schedule OJC. You should see an amount here for state credit for income tax paid to other state as well as Schedule OJC included in your filing copy. If you don't see anything on this line or if the form is not included, you may need to file an amended state return to ensure you receive the proper credit on your resident state return.
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