LibAddonMenu can only create a settings menu that you find at ESC -> Settings -> AddOns
Though you could reuse the controls of LAM to create your own menu elsewhere but you would have to learn XML and UI creation with lua before that and need to totally do all on your own, LAM is not heping with the totla menu, just providing the controls you could put at the menu (e.g. dropdown, checkbox, ...).
I do not know any tutorial for creating a custom menu.
LAM settings menu tuts can be found at tutorial section (top sticky threads) here at the forums
and at the Wiki (
https://wiki.esoui.com/Main_Page):
https://i.imgur.com/oxnMO5M.png
New to addons info can be found here:
https://www.esoui.com/forums/showthread.php?t=9867