Darwin's Doctrine of Common Descent, that all life on Earth has descended from one original primordial form, does. It demands transference between major animal groups.
"transference" between animal groups makes no sense
Well, I don't know if it doesn't make sense, but it certainly is a myth.
No, this "transference" you speak of is your own concoction. As I said, I don't think that word means what you think it means.