Can I display published date and last update in search result?

Hi,

Sure, this is only possible via using a custom code. Try this custom code in the functions.php in your theme/child theme directory. Before editing, please make sure to have a full site back-up just in case!

add_filter('asp_results', 'asl_modified_date', 10, 1);
function asp_modified_date($results) {
   foreach ($results as $k=>&$r) {
      $dates = 
        'Published: ' . get_the_date('', $r->id) . '<br>' . 
        'Modified: ' . get_the_modified_date('', $r->id) . '<br>';
      $r->content = $dates . $r->content;
   }
   return $results;
}