To the OP, please next time please extend your mouse sweep a little bit so that it also includes the prompts (before and after) and the commands (this I asked you earlier!). Then we have all as you see it. And you do not have to explain with extra story telling that what follows is
pvdisplay, vgdisplay and lvdisplay.
because it is all there exactly as you did it, including options or whatever.
So, you have given partitions sdb2 (20G) and sdb3 (230G) the id 8e (Linux LVM).
Then they are made into PVs of 20G and 230G resp.
Then there are two VGs, each one based on one of the PVs, PDFGroup0 of 20G and VideoGroup0 of 230G.
There is a LV Linux on VG PDFGroup0 with the size of 5G.
There is a LV Network on VG PDFGroup0 with the size 5G.
And that is it.
So there is still ~10G unused on VG PDFGroup0 and VideoGroup0 is not used at all.
To begin with, like @avidjaar, I wonder why you are talking about number like 200G and 4G. They are nowhere in what we see here.
And then of course, you talk about having “formatted” ext4 file systems on partitions. Which partitions?
And did you do anything with those two LVs? Created a file system on them? When yes, tried to mount them? In that case, please show
to see what the size of those file system is.
And maybe, referring to to old saying “Describe the goal, not the step”, you could explain what you are trying to achieve. Until now we can only explain what we see, but we have no idea if this comes one step nearer to what you want.
Personally, I do not understand much about what you are doing. First you split off two partitions, then you made them into two VGs. Why not just one partition, one VG and then dividing that in the LVs you need?
Why are you using LVM in the first place and are you not using simply partitions? I know there might be reason (like encryption) but we have no idea at all what you are after.