The existence of shared genes among different species is logically, but not empirically, consistent with a Darwinian type of evolution and shared origins.
But it is also consistent logically with divine creation.
As John Lennox of Oxford University points out: the theory of evolution presumes the existence of a mutating replicator, but it tells us nothing about how the mutating replicator got there in the first place.
The specific problem involves this: a certain number of highly complex genes must have been present in the very first theoretical living cell in order for it to produce more organisms.