I found reference on this forum to using a composition widget to somehow create a trigger within an accordion menu that would open a submenu below. This is the tutorial: Adobe Muse Advanced Tutorial - How to make Submenu in mobile friendly website - YouTube. The other issue with using a lightbox as the main navigation is that it covers the logo at the top when triggered. Again, these do not collapse unless the user clicks on the menu items to close them. I found one tutorial that uses a lightbox as the main navigation, then uses state buttons and accordions to create the menu and sub menus. It is not expected that the user would close the sub-menu his/herself. As I understand it, the way people use navigation like this is that they expect a sub-menu to close automatically when they click elsewhere.
They block the other categories below once opened. I've tried creating sub-menus with accordions and placing within the main accordion, but these remain open and do not close automatically. Ideally, these would collapse again and not remain open, as the user clicks to other main/upper menu items. For my mobile site, I'd like to create a push-down accordion type of menu - three of the menu items would have sub-menus that open vertically below when the main category is clicked.