When you say "evolution", I take you mean the current accepted biological theory sprung from Darwin.
As far as I understand, this theory is an explanation for the origin of species: that is, what accounts for the regularities that are found over generations of a certain specie (the regularities that define the category -- the specie) to mutate over time.
With only that theory in mind, we can't talk about species being more advanced than others. The characteristics of a specie simply "are": some are reinforced and become stronger (e.g. tolerance to higher or lower temperatures), some are weakened and deteriorate over generations (e.g. ability to digest certain elements) according to the inherited characteristics of the ancestors and environment.
On the other hand, in Buddhism, there's the notion of impermanence, which seems to subsume mutation, and a theory of karma, which targets the explanation of the process of mutation of "a single person": how a being "becomes" and to what environment his becoming eventually inclines to.
Furthermore, the theory of evolution above targets mutation over generations of populations -- it's interested in characteristics shared by many beings. Buddhism is not interested in how species (categories of beings) mutate, but shows concerns with the rise and fall of perceived experience and the becoming of aggregates subject to birth and decay, linked by karma.
Finally, genetics can explain how a person's body inherits her ancestor's characteristics and has features considered "pretty". Buddhism, however, talks about why "that particular person took that place" of being that person whose body features are pretty.