No, the one Cap has nothing to do with the other, they don't affect each other.

Actually, for me to help you would require you to exactly name the screens and buttons you press in order to get these numbers, then also your racial stats,a nd what "base" production you have on these planets.

What do you mean with "research screen"?

the research system confuses me a bit too.

For example, a new technology needs 92 points to be discovered as mentioned in the description. One of my planets produces over 50 points, research buildings increase this number, but still the technology takes about 7 turns to complete although it should be compületed in 2 turns ....

or are the 92 points only affected by the money I put in research?

but what are the research points of the planets for then?

As I posted in #2, the settings of the Empire-wide sliders are important.

As Moosetek13 noted in #4, the Research slider must be at 100% to get all the points.  However, I think the "Spending" slider must also be at 100%, as well.

That is, the "nameplate" ratiing is achieved only when the Empire spending is at 100% and 100% of that spending is going to Research.