You should elaborate on what you have done so far to get these.
The theme has shortcodes to show of hide content on various devices, they are [hide_if] and [show_if]. Their usage and options are explained on the Add-Ons page, so whatever content you put in widgets (like in the footer that you don’t want on mobile, you can place inside one of these with the proper option.
regarding the top of the page, I don’t see an extra menu on mobile, just the primary one, but you appear to have messed up the styling of it as we get a weird bar over the hamburger icon and serach icon.