It isn't falsifiable. You show me one blasted animal on this planet that can couple with it's own kind and produce a completely different kind of animal that can reproduce it's own kind. You can't. It thusly is NOT falsifiable. It is a belief system - not science.
It is falsifiable. Finding modern human skeletons before the Tertiary would be a falsification, for instance. That it hasn't been falsified does not mean that it cannot. And, as for your second sentence above, Evolution does not in any way teach that this would be possible. That you believe it does shows a profound ignorance of that which you rale against.
So if evolution is not falsifiable, how can you argue that the evidence has shown it to be false?