I wrote about this in my undergrad about 15+ years ago. It was hard to find any proper analysis back then, but I started searching for stuff about “the worship wars.” That mainly refers to the transition from hymn-based (or “traditional”) worship to modern worship. This was one of the more helpful resources from that study: https://www.amazon.com/dp/156563490X/ref=cm_sw_em_r_mt_dp_Y56FXQDWFQD88304596A
The so-called “worship wars” are kinda over, though… or at least have shifted focus. I have a pet theory that many of the criticisms of the music from Elevation Church or Hillsong Church are hidden attempts to “rekindle” the worship wars. But, the problem is that modern worship really doesn’t have one structure… really, you just have a bunch of churches that copy each other, until someone comes up with something interesting, then everyone else follows. Technology would also probably play a big role in any “modern liturgical analysis.”
What do you need this for? Research paper? Or just your own curiosity?