How about further explaining something from everyday life in simple science terms? Perhaps related to one of the news items? For example, this news segment is about how a computer chip can identify microbes living in your body. http://www.sciencemag.org/news/2018/07/chip-can-quickly-identify-microbes-living-your-body Well, after reporting on the story, the segment could be “What is a computer chip and how does it work”? Most people have computers, cameras, phones that use that tech, but don’t think much about it.
Yeah, it’s a little bit “Professor Proton”. But might help answer the “why should the audience care” question.
Some of the most compelling things that a science show can report on are things that the audience can relate to. Or that affect them directly.
Also, do you think that recording “Science” needs to happen directly after “TMRO”? If you’re going to add more shows eventually, they’re going to need to operate pseudo-independently, right? If left to their own devices, they might develop their own “flavour”, so to speak. Or do you want Science to be modeled directly on TMRO and use that template?