It depends on the context. In common vernacular, “proof” is understood to be “proof beyond a reasonable doubt”. In this context I would say that evidence and proof are one in the same since proof is understood to be tentative. To use a less controversial example, people are freed from prison after being found innocent even though they were proven guilty in a court of law. Some scientists still talk about “proving a theory” by which they mean proof beyond a reasonable doubt.
If we are talking about specific philosophical or metaphysical positions, then absolute proof and evidence would be different. Obviously, there is nothing tentative about absolute proof. An example would be mathematical proofs which are considered absolutes.