Evolution is a theory of its own, not core to the whatever theory you choose to believe as to the origins of the universe. Yes, the theory of origin is inclusive of evolution, but not the other way around.
Specifically of the theory of origins - Those who profess to be Evolutionists generally follow the big bang theory, or something similar. Christians (and those other regilions who base from the Bible.) are Creationists. In regards to these two theories (Big Bang and Creation) - they CANNOT coexist. Big Bang professes that life began some 4.6 billion years ago. Creationism professes that God created life about 11,000 years ago. As Creationism suggests life started at that point, it is also in contradiction with the theory of evolution, although I have known many a Christian that tries to explain evolution and/or scientific evidence that "proves" the theory.
For Evolutionists, fossils, carbon dating and science empirically back up their belief.
For Creationists, faith backs up their belief.
So how do Creationist debunk the theory of evolution? Most that I have spoken to claim that all of these things that are found (dinosaur bone fossils, etc....) were placed there by God (or some say by Satan) to confuse and test man along the path to salvation.
Hope this helps.