This menu will display the right side of the Primary header menu.
To edit this menu go to Appearance->Menus here you can see a menu location name Primary Right Menu. Assign a menu to this location to display the menu on the right side.
If you want to hide the menu item when the user is not logged in then provide this class into CSS Classes field: hide-if-user-logged_in
If you want to hide the menu item when the user is logged in then provide this class into CSS Classes field: hide-if-user-not-logged_in