Exclude post type from live search box

Hi,

I use the Easy Digital Downloads plugin. I have added the following code snippet to my site to exclude the downloads post type from search:

function pw_edd_hide_from_search( $args ) {
$args['exclude_from_search'] = true;
return $args;
}
add_filter( 'edd_download_post_type_args', 'pw_edd_hide_from_search' );

But, when I use the Newspaper theme’s “Header Live Search” shortcode, the excluded results are displayed in the live search results box.
How can I hide them?

Best regards