Very intersting.
This library will have to be wrapped. You need to create a java wrapper in eclipse referencing this lib. Once that is done, you can use it in B4A.
You need to know your way around java and eclipse to do this.
I'd appreciate any guidance on what needs to be modified to work with B4A. Happy to buy someone a coffee or beer for their assistance as it's much appreciated. Excited to move forward on my B4A project.
Basically you import that everynote library code into eclipse (its all in .java source). Then look at the evernote sample code, and expose the methods you need. It isnt a very small library, so just use the features that you need.
EDIT: Also, look at agraham's link. Took a while to write my post
EDIT2: I should edit my post, it seems wrong in context now.