How did TT mess up? You were a part year resident in NJ and you should have filed in NJ as such and you owed taxes in NJ for the half of the year you were not there as a non-resident. In VT you also owed taxes for half the year you lived there.
**I don't work for TT. Just trying to help. All the best.
***Say "Thanks" by marking as BEST ANSWER and clicking the thumb icon in a post and that I solved your question
**Mark the post that answers your question by clicking on "Mark as Best Answer" I am NOT an expert and you should confirm with a tax expert.
