Thanks to everyone for your replies. Indeed, in the Left Drawer you have to put a CustomListView and then create items as indicated by Erel in the B4XDrawer example. In my case I created an items Layout with a single Label and ImageView for the text and the icon of the option. Using the Divider and Press colors from from CLV gave me the separation and animation on pressing. And of course the vertical scroll works.
The missundertanding occurs cos in the "B4XPages, 3 Pages + Drawer" example, in the Left Drawer layout there's a single "Log out" button, so I believe that to populate my menu on the Drawer I just have to put my controls directly there, but then I look the other proyect (B4XDrawer alone), and then I realize that I have to put a CLV on the left drawer. It takes time...