. . .
$('#director').autocomplete({
    source: "{% url 'autocompleta_director' %}",
    minLength: 2,
}).autocomplete("instance")._renderItem = function( ul, item ) {
    return $("<li>")
           .append("<div>" + item.nombre + "<br>" + item.apellidos + "</div>")
           .appendTo(ul);
};
. . .