Neither TurboTax nor NJ use the federal adjusted gross income to report state wage income. Both use box 16 from forms W2. For NJ the box 1 amount typically will be lower than the box 16 amount due to items such as 403b contributions that are taxable in NJ but not federally.
Entering the W2 information correctly will ensure the NJ wage amount will be correct and include the taxable retirement plan contributions. Compare your W2 box 16 amounts to the amounts reported on line 15 of form NJ-1040.
Additionally in your prints/downloads of your tax forms you will find a "Wage and Tax Statement" which will show the entries made for forms W2.
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