John and I are but fellow users. Even though we are willing to help, Adobe support (free for install issues I believe), will, under some conditions, log on to your machine and fix things. You might consider that. I'll bet John will send you a link shortly after I post this!
To help you get the context, here are the big picture steps - do them in this order.
Install Encore (You have done this).
Download and install the CS6 Premeire and Encore Functional content (see below). (I think you did this, but I am not sure.)
Download, uncompress, and move the CS6 Encore full library content. (I don't think you did this - make sure you did step 2 correctly before moving on to this step.)
Re step 2:
Download the file in the top part of John's first link. Assuming you are windows, the file you download is:
PremiereProCS6ContentWin.zip
Unzip this file and you have a folder called:
CS6 Functional Content
Inside that folder are:
PremierePro_6_Content_LS7.exe (the file you "run")
and
PremierePro_6_Content_LS7.7z (the file with the content, that you leave alone the installer - the file you "run," uses this.
So execute ("run"), PremierePro_6_Content_LS7.exe
It will uncompress a bunch of files and put them where they go.
When you open Encore and look at the library, you should see all the categories of menu templates.
It occurs to me that you may not be looking in the right place for categories other than "general."
You select Library "sets" or "categories" (you are seeing only "general"), with the drop down in this image:
If you are looking there and don't see anything or only "General," check to see where Encore preferences say the Encore library should be located: