I see the Themes CSS of this ( its the next rule down in your image):
.menu-toggle, .mobile-bar-items, .sidebar-nav-mobile {
display: none;
}
Which hides those elements.
If you want the ajax search to appear then it would require CSS to override that:
@media (max-width: 1024px) {
.mobile-bar-items.ajax-search {
display: block;
}
}