Can raw energy create Order

[John V]

Do you understand how two concepts can be related without being connected?

No.
http://dictionary.reference.com/browse/related?s=t

re·lat·ed
adjective
1.
associated; connected.

Without one depending on the other?

Evolution surely depends on abiogenesis.

Abiogenesis is the best current theory for the origins of life, in that it has some degree of theoretical scaffolding and experimental results to its name. Evolution is the- entirely confirmed and factual- theory regarding the diversity of extant life; to the degree that they are connected at all in a scientific sense, it is down to this.

Are you saying that abiogenesis is entirely confirmed and factual? You did call it a theory.

Creationists tend to conflate the two and somewhat dominate the conversation about evolution in the public sphere, but they are different concepts for those with intellectual honesty.

It would depend on the abiogenesis model. If the model involves something that's self-replicating, then abiogenesis and evolution are part of the same continuum, with a somewhat arbitrary dividing line called "life" drawn in somewhere. If you're intellectually honest.