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Jiro comments on Two-boxing, smoking and chewing gum in Medical Newcomb problems - Less Wrong Discussion
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Regular Newcomb requires that, for certain decision algorithms, Omega solve the halting problem. Genetic Newcomb requires that Omega look for the gene, something which he can always do. The "regular equivalent" of genetic Newcomb is that Omega looks at the decision maker's source code, but it so happens that most decision makers work in ways which are easy to analyze.
Now that I think of it, it depends on exactly what it means for Omega to tell that you have a gene for two-boxing. If Omega has the equivalent of a textbook saying "gene AGTGCGTTACT leads to two-boxing" or if the gene produces a brain that is incapable of one-boxing at all in the same way that genes produce lungs that are incapable of breathing water, then what I said applies. If it's a gene for two-boxing because it causes the bearer to produce a specific chain of reasoning, and Omega knows it's a two-boxing gene because Omega has analyzed the chain and figured out that it leads to two-boxing, then there actually is no difference.
(This is complicated by the fact that the problem states that having the gene is statistically associated with two-boxing, which is neither of those. If the gene is only statistically associated with two-boxing, it might be that the gene makes the bearer likely to two-box in ways that are not implicated if the bearer reasons the problem out in full logical detail.)