Apparently, I think abiogenesis used to be a part of the Theory but is no longer, I can't be sure but I think that is what happened.
Since Darwin, explicitly left it out of the Origin of Species it would have to have been
added later. I'm not aware of that happening at any time.
The way they are connected is that all the sciences have some contact and little bits of overlap. For example, chemistry and physics. Some more "affinity" than others. Clearly a biologist would be interested in both how life evolves and how it started. However, this would only be at a general level. The specialists working in one area or another would almost certainly be focussed on one or the other.
Evolutionary theory concerns changes in the geneomes of populations of organizations. Since these populations are already living things there is no way that abiogenesis is an issue.
However, evolutionary theory might be of interest to those studying the origin of life. "Pre-biotic evolution" is one approach used to think about how life may have arisen. That is why the interest in self-replicating but not 'alive' molecules.
This is a somewhat closer connection than using genetic algorithms to design things. We don't think that aircraft engineering is part of the ToE though do we? (or do we?
)