Modify the faq post type and taxonomy args to make them public and searchable.

modify-faq-post-type-and-taxonomy-args-public.php

<?php

// Add this code to your child theme's function.php

// Filter to modify default post type args
add_filter('register_post_type_args', 'modify_faq_post_type_args', 10, 2);

/**
 * Modify FAQ post type args to make them public and searchable
 */
function modify_faq_post_type_args(
    $args,
    $post_type
) {
    if ($post_type == 'wpt-faq') {
        $args['public']              = true;
        $args['exclude_from_search'] = false;
        $args['publicly_queryable']  = true;
    }
    return $args;
}


// Making FAQ taxonomy public.

add_filter('register_taxonomy_args', 'modify_faq_taxonomy_args', 10, 3);

// Modify FAQ taxonomy to make it public
function modify_faq_taxonomy_args(
    $args,
    $taxonomy,
    $object_type
) {

    if ($taxonomy == 'wpt-faq-cat') {
        $args['public']             = true;
        $args['publicly_queryable'] = true;
    }

    return $args;
}