The short answer is that responsible is usually followed by the preposition for. If you want to know more, read below.
When the adjective responsible is used to describe a person or thing that caused something, or that has the job of managing something, it is followed by the preposition for, as in these examples:
When responsible is used to mean "capable and trustworthy," no preposition is used, as in these examples:
Occasionally, though not often, responsible is used to describe someone who is working under the direction and authority of a specific person in an organization. In this case, responsible is followed by the preposition to: