If this plugin works like I expect and if you exclude the file, that is responsible for combining css and js files, caching works like it should, but without caching the file for combining and the plugin can do its job. If excluding this file from being cached within LScache plugin doesn't work a response header with a specific cache control define must be added into the code of this plugin for combining .css and .js files.
I have a similiar function in my applications and it works like explained.