How do I communicate with post-production team? Need a list of effects and examples
About the newspaper headlines. I would not call it an effect at first. First it is a storytelling element, with the headlines actually telling something and often carrying the storyline forward - easily anything between three days to several months, plus that you could use it as a prelude for a jump in time of several years. What I'm trying to say is; this effect, as you call it, is a timeline jump in your story. 

So in practice it is not an effect first. The way you actually do it is an effect, meaning that you can do it entirely in digital, CG, or real newspapers thrown on a table and filmed as so, a combination of methods, etc. Whatever, you need the headlines in these papers, because your audience is going to read them, or at least have time to grasp the message if not given time to properly read them. Telling a story through newspaper headlines is not a job for effects engineer. You provide the headlines, the story. (A job for your writer(s), not necessarily yourself.)  Then you let your team create a newspaper headlines storytelling section.

Furthermore, say you want to skip filming a court of law section in your story. In between those newspaper headlines you could do very short inserts of video, like the main characters walking up the steps to a courthouse, accompanied with more newspaper headlines, then a clip of grieving after a lost case, and when the media buzz is over, you can continue your film at any distance in time, like 20 years forward if you so wish and the story tells you so. But this was not in your question.

To answer your question - write those headlines and take them to your team, and tell them what you want with the same words that you used to describe your question here. It should be enough for them.