Change default order posts in search results page

Hi,
I would like to change the default display order of search results, I use the plugin grdrts (vote plugin) and i would order my listings by number of votes.

I managed to do it for the home page by creating a shortcode [gdrts-listings] and it work perfectly.

But for search results is more complicated…

I just tried to change the url:

https://www.liste-serveur-minecraft.fr/?s=&tx_version=0&acces–3=&advanced_search=yes&orderby=post_title&order=asc
to
https://www.liste-serveur-minecraft.fr/?s=&tx_version=0&acces–3=&advanced_search=yes&orderby=gdrts&order=asc

This method does not work, I think class_search.php modifies the request, here’s what told me the plugin creator (gdrts):

MiLLan:
I am not sure what ‘advanced_search’ parameter is, but it is not part of WordPress. It is possible that you use some plugin for search replacement that is messing with the query. My plugin expands WP_Query WordPress uses for all types of posts queries, but if your search is using something else or modifies the query in some way to ignore changes added by other plugin, then I can’t help you with that.

What would be the simplest solution?