CyberPanel use Apache configurations for LiteSpeed Ent and normally cache module is loaded by default, if you visit your website do you get a cache hit in response headers?
What version of LiteSpeed are you running?
There seem to be minor issues with the code that send schedule backups. Since you did not share your backup logs yet, I fixed those issues and pushed the package.
You can upgrade and see if this fixes your issue. Otherwise, provide logs as asked ab…