What is the ruling on placing bags and tissues contaminated with urinary incontinence in garbage carts, given the fear of them being recycled or inspected by sanitation workers with wet hands?

Disposing of impure bags and tissues by throwing them into trash bins is permissible, as these are designated for that purpose, and there is no harm in it. It appears the questioner is afflicted with waswasah (obsessive whispering); therefore, it is advised not to dwell on it.