On mobile so I can’t look now, but from what I recall the people who have looked into it (and quite a few have) find that the causal relationship goes in the other direction, at least in the US —- young people have abandoned religion because of religions treatment of homosexuals, women (including access to abortion), and, for white evangelicals, their treatment of racial minorities. Religious organizations in the US have persecuted their culture war at great expense. IIRC they’re currently replacing those lost young people with people who are attracted to their movement specifically because of these various bigotries, so I think they’re holding about even, but given demographic shifts I don’t know how long that will be sustainable.