In perfect player it's called "archive". Long press a channel with catch up and you'll see it in the menu

If you are looking how to enable it in Perfect Player https://www.reddit.com/r/IPTV/comments/aaf3uv/how_to_set_up_and_use_vodcatchup_on_perfect/

I think Beast is reworking their Catchup right now, so it might be related to that?