By default, the front-end event type selector will show categories used by events in the current group/view.
You can override this to show specific categories on a per-group basis by adding this to your public.config.php file.
$_LW->CONFIG['CALENDAR_GROUP_CATEGORIES_TYPE']=[ // custom event types to display on group calendar(s)
// Group ID => Array of event types
1 => ['Category 1', 'Category 2']
];