It depends. If what is reported on your W2 is exactly what you made while living in NY/NYC, you won't need to allocate anything. The allocation screens are to split or designate income that was not earned in New York (or while living in New York), but was reported as taxable to NY.
If, for instance, all of your income is reported as taxable to NY, but only half of it was earned in New York while living in New York, then you allocate 50% of the income to New York. If you know the exact amount of income that was earned in each, use the allocation screen to report the exact amount. If unsure, prorate the income by the number of days you lived in New York divided by 365, and the rest of the income is for Louisiana. These situations could arise if you continued to work for the same NY employer after moving to Louisiana. There is a caveat if this is the case: a telecommuter working from home for a NY company is considered to be working in New York and taxed as a New York nonresident. (All of your income would be taxable to NY if that's the case).
Your most likely scenario, however, is that you earned income in NY until you moved to Louisiana and began working there. That type of move does not need allocation, because your NY income will be listed on your W2 for NY and your LA income will be on the W2 listed for LA.
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