A rather Freudian typo .... ;-)
In fact, eugenics is an application of TOE, and is therefore really not "apart" of it.
I guess if I hit you in the head with a shovel, that would be an "application" of F = m*a.
Do you suppose the jury will go for it when I tell them it's all Newton's fault?
Eugenics is the application of animal husbandry to human beings. As soon as an intelligent agent is doing the selecting, it is no longer "natural selection" but "artificial selection" and, therefore, not encompassed by the TOE (to the extent that the "TOE" refers to Darwinian evolution.)
As has been pointed out, Plato was advocating eugenics a couple thousand years before Darwin. He did so in The Republic.