We can create a search field for filtering brand items from facet.

Template
<input type="search" id="searchfilter" placeholder="Filter options" data-action="search_bar">
Extension
_.extend(FacetsFacetedNavigationItemView.prototype,{
events: _.extend(FacetsFacetedNavigationItemView.prototype.events,{
'keypress [data-action="search_bar"]':'searchbrand',
'keydown [data-action="search_bar"]':'searchbrand',
'keyup [data-action="search_bar"]':'searchbrand',
}),
searchbrand: function(e) {
const term = e.target.value.toLocaleLowerCase();
const brands = document.getElementsByClassName('facets-faceted-navigation-item-facet-option');
var hasResults = false;
Array.from(brands).forEach(function(brand) {
const title = brand.textContent
if (title.toLowerCase().indexOf(term) != -1) {
brand.parentElement.style.display = 'block';
hasResults = true;
} else {
brand.parentElement.style.display = 'none';
}
});
}
}),