On WordPress Search, how to search post from Author meta also

You can start with prepare information what you need using MySQL

SELECT * FROM `wp_usermeta` WHERE `meta_key` = "description"

For example, you can create the file with the prepared output of your custom query
and then use jQuery * Ajax for your search box..

I’ve show you sample of json file:

<?php
require_once('../../../wp-load.php');


$gm = array("results"  => array());
$loop = new WP_Query( array( 'post_type' => array('post', 'page'), 'post_status' => 'publish') );
if ( $loop->have_posts() ): while ( $loop->have_posts() ): $loop -> the_post();
    $tmp = array(
        "title" => get_the_title(),
        "url" => get_the_permalink(),
        "text" => get_the_excerpt()
    );
    array_push($gm["results"],$tmp);
endwhile;
endif;

echo json_encode($gm);

Unlikely, HERE in WP Query Author parameters you can grab only post related to author.

So the best solution is just simple querys to SQL and output it in custom php file. Then easily you can show this info in your searchbox:)