FUA menu module
The FUA menu module is a clone of the normal Joomla module, which has been fixed to work with FUA, to hide menu-items as set in FUA > 'menu access'.
FUA can override the Joomla menu module and hide menu-items. See FUA configuration > 'menu access'.
However, in case this override conflicts with other installed extensions, you might need to use a FUA menu-module.