If we’re talking about front end menus then this really doesn’t have much to do with ACF, unless you need to get a value from ACF to determine if the user should have access. The login/logout feature is a matter of checking to see if the user is logged in or not and showing the correct link. What you need to do is look for information on restricting access to pages and building custom menus for the front end of the site. You might try these
