A small plastic stick that upper management will carry around if they work in a job that requires a lot of cleaning/janitorial work. The stick is ineffective but looks impressive. They only can use it to grab small pieces of trash. Much less useful than a broom or a dustpan.
It is a way for upper management to claim they are "working with the employees" but doesn't make them do much work.
When I see the general manager wielding his manager stick, I wonder how many other people can see through the facade.