I would regard two things as having been proved beyond a shadow of a doubt: deep geological time (the Earth is 4,500 million years old), and descent with modification from a common ancestor.
Mainstream science regards the mechanism for evolution to be chance plus necessity: random variation and natural selection, i.e., Darwinism. I am inclined to agree with mainstream science, but the ID theorists offer various arguments as to why this cannot be so. I regard Darwinism to have been proved but not beyond a shadow of a doubt; I respect the ID theorists but again I do not think they are correct.
Are you saying that "Descent with modification...." is the mechanism by which new species are created? Has this been verified scientifically?