The article personifies things a couple times and I always wonder about the actual mechanics when people do that.
It mentions selfish queen genes and how the DNA from the male of the species "ensures its propagation by applying pressure to larvae to be queens rather than infertile females." Does it then? The DNA is there in the egg whispering, "do it, cheat, you'd be an amazing queen, doooo itt"?
They write that the queen must use sperm from another species that it has stored to circumvent that. So the queen is thinking, "ah, pesky sneaky DNA, cheating. Here, I'll just let out, from my sperm storage organ where I store a bunch of sperm all mixed up, only sperm from another species, that'll teach that pesky DNA!"
Like what is actually happening in reality?
The article uses terms that are known to biologists which can be easily searched for.
There are genes called "selfish genes" which cause a negative impact on the organism. Normally they would be selected out by evolution, but the "selfish" part means the gene is propagated to descendant organisms far more often than a regular gene would be. There are several mechanisms that can cause this, wikipedia has a summary.
In this case the ants have a "selfish gene" which greatly increases the probability of an egg being a queen, which makes it much harder for the colony to thrive.
As for the mixing of the species? You'd need a time travel machine to find out for sure, but the researchers noted that the species live in proximity and do mate together when in the same area. This would allow the queen to produce the needed workers. Evolution drove forward and somehow created a mechanism that allowed the ants to maintain the DNA required independent from the origin species. That's what the researchers are looking for now.