Relating your first screenshot, the error message is the same like described here:
https://www.esoui.com/forums/showthread.php?t=8886
You'll find information and solution in this thread.
If you do not use the AUI addon check your other addons for a subfolder "libs/LibAddonMenu..." (old versions) and delete them so the installed LibAddonMenu from your AddOns/LibAddonMenu (new version installed via Minion) folder is used.
And if you use Minion LibAddonMenu wil lbe installed correctly into the AddOns folder, just like a normal addon!
If you manually install it you need to extract the LibAddonMenu.2-0.zip file into the AddOns folder so there is a folder structure like AddOns/LibAddonMenu-2.0/LibAddonMenu-2.0.txt etc.