Hi,
There are few things to consider when run on litespeed servers:
1) Ensure the liteserver actually process the .htaccess file where the rewrite data is being saved. Check with the following topic regarding this issue https://www.litespeedtech.com/support/forum/threads/htaccess-is-ignored.15500/
2) If you use Litespeed Cache plugin, in the Optimization Settings area, disable the CSS / JS Minify
3) If your litespeed server require to place the rewrite lines in a different file e.g. config file or interface, consider to upgrade to PRO version which include a Setup page where you can copy -> paste the rewrite code https://www.wp-hide.com/wp-hide-pro-now-available/.
Thanks