Since evolution doesn’t suggest “transference between major animal groups,” it’s fair to wonder what you mean by it. If you mean something like a bird evolving into a cat, well, like I said, evolution neither requires nor suggests any such thing.
Darwinian proposed the Doctrine of Common Descent – that all life on Earth has descended from one original primordial form. This kind of evolution requires transference between major animal groups.
As I said, that's different from changes that evolve within an animal group. But changes within an animal group does not support the Darwinian Doctrine of Common Descent or "Origin of the Species" evolution argument.