to remove the ajaxsearch
Possibly because the page is already cached.
To take into account the change of your page, goto "site", click on "recharger le site". This empty the cache. And then click on "Prévisualiser" to see the new version of your page.
Otherwise remove the snippet call in your template and remove it from Modx, goto "Ressources", Gestion des ressources", onglet "snippets" open the snippet AjaxSearch and then "supprimer".
Joli site sinon. Sobre et clair.