I guess you check that you have everything in its proper place.
For Motion Templates:
Motion Templates.localized.
Inside Motion Templates.localized
Effects.localized, Generators.localized, Titles.localized and Transitions.localized folders. (These are Template Types.)
Localized folders will generally NOT have the .localized extension visible in the Finder. Use Get Info to check these. If there is more than one .localized attached, make sure ONLY ONE .localized is applied.
These folders above are CASE SENSITIVE as well as the space character in Motion Templates - make sure it's only ONE space character.
Inside the Template Type folders, some kind of Category folder needs to exist — name of your choice — NOT localized. These can be as many categories as you like.
Inside Category folders:
Template Folder(s). Templates ARE: a folder with the name of the Template CONTAINING a Motion file with the EXACT SAME NAME as the Template folder with a file extension of .moef for Effects, .motn for Generator, .moti for Titles or .motr for transitions. Other files in the Template folder are "large.png" and "small.png" thumbnail images and very likely a Media folder which will contain any "external media" that is used by the template — but very often the Media folder will be empty. It is still part of the Template.
Some Templates have Themes. Themes are subdivisions of a Category and in the Browser column that displays the Templates within a Category, you will see Theme Labels with underlines that divide those themed templates from the top tier (un-themed) category templates. If you have Templates with Theme folders, you will generally have explicit instructions with dealing with the installation.
Effects Presets folder. Created by Final Cut. You shouldn't mess with it, but if you have: the folder is NOT .localized. Inside, there should be NO folders, only *.effectsPreset files. The file extensions of Effects Presets will be visible in the Finder.
Based on your last screen shot, the .effectsPreset files that were in "1K VISUALS PRESET...2.05PM" (and now on the desktop) need to be moved from inside that folder into the /ProApps/Effects Presets folder.
Hope this clarifies things a little more for you.