I think this is really the wrong framing. Science can't disprove religion. The question is whether it makes any sense to believe in the religion in the first place, given what observation and science say about the universe. Science can't prove that God didn't create the universe a nano-second ago in exactly the state to produce this temporal evolution, but no one believes that because its not explanatory and also fails a bunch of other, not-necessarily scientific, but rationally motivated epistemological tests.
The way I see this is that science cannot disprove any particular religion, but it can probably offer more compelling explanations for the state of the world than religion can offer. People haven't flocked away from religion because explanations for the state of the world aren't really what people want from religion. They want a sop for their anxieties. they want community, etc. I think believing in nonsense is a real shitty way to get these things, but I'm not most people.