The problem is about the type of evidence.
I don't think is possible to have scientific evidence about God. I can't put God in a vial so I can't make any scientific experiment about God.
But there are physical evidence, testimonial evidence, logical evidence and metaphysical evidence (like visions, prayers, intuition, etc).
Miracles produce physical evidence but they can't be replicate in any scientific method. So the cause of miracle or the cause of physical evidences can't be scientific.
We have Eucharist turned to flesh and blood but the event of transformation itself can't be approached scientifically.
Basically I'm saying there are several types of evidence and not just scientific evidence.
https://en.m.wikipedia.org/wiki/Evidence