Leah's answer is good, except that the verb should be changed from "influence" to "influences," since the subject of the sentence is "quality," which is singular.

You could say either "actors" or "acting," but it seems a little repetitive to say both.  It would be best to pick one or the other.

If you want to focus on the acting rather than the actors, another way to write the sentence would be, "The quality of the acting influences the quality and popularity of films."  

About articles

The quality of actors influence the quality and popularity of films.

Articles can be tough at first. Keep it up!