I don't think this is correct. I've never heard of any evidence for pro-aging genes, but I have read molecular biology rebuttals against this theory (Stephen Jay Gould or perhaps textbook sources, though unfortunately I can't recall well enough to cite them).

You don't need extra genes or information to prefer organisms that age out of reproductive fitness. If advanced age during reproduction confers lower fitness, then the offspring are automatically less fit. While you could argue that there would be a competition for resources amongst the young offspring, this isn't much different than other scenarios that produce less fit or disabled offspring.