Mordida, “bite.” The Diccionario del español de México defines it as money that a police officer, a bureaucrat or an official demands from someone. Among the purposes it lists is “para que logre terminar un trámite en un plazo razonable” (so that the person manages to finish a procedure in a reasonable time).
Moche, “cut,” is an illegal commission paid for the award of a job or a profit. An aviador, “aviator,” is a person who receives a salary in an office, particularly a government office, without working there. The dictionary’s example reads: “Algunas dependencias tienen muchos más aviadores que burócratas” (Some agencies have many more aviators than bureaucrats).