I saved dom elements to variable names trying to increase performance (not having to traverse the dom everytime).
listGroupsExport = $('#listGroupsExport');
But now I want to call out each LI of that UL. Is there a way to still use the variable name and do the equivalent of $('#listGroupsExport.li') using the var name?
Yes you can use find to find the descendants of your element.
listGroupsExport.find('li');
if you want to just get the children then:
listGroupsExport.children('li');
Another way is to use context in the selector:
$('li', listGroupsExport); //But find will be faster
By the way your selector should anyways be $('#listGroupsExport .li'); //Note the space