Supports multiple filters.

set-filter-by-tax.php

<?php

add_action('restrict_manage_posts', [$this, 'taxonomyFilter']);
add_filter('parse_query', [$this, 'filterByTaxonomy']);

…

public function taxonomyFilter()
{
	global $typenow;
	$args = [
		'public'   => true,
		'_builtin' => true
	];
	$custom_post_types = get_post_types($args);
	$custom_post_types = array_values($custom_post_types);
	if (empty($typenow) || in_array($typenow, $custom_post_types) === true) {
		return;
	}
	$taxonomies = get_object_taxonomies($typenow);
	$post_type = $this->post_type;
	if ($typenow == $post_type) {
		foreach ($taxonomies as $tax) {
			if (! empty($tax) && ! is_wp_error($tax)) {
				$selected = isset($_GET[ $tax ]) ? $_GET[ $tax ] : '';
				$info_taxonomy = get_taxonomy($tax);
				wp_dropdown_categories([
					'show_option_all' => $info_taxonomy->labels->archives,
					'taxonomy'        => $tax,
					'name'            => $tax,
					'orderby'         => 'name',
					'selected'        => $selected,
					'show_count'      => false,
					'hide_empty'      => true
				]);
			}
		}
	}
}

public function filterByTaxonomy($query)
{
	global $pagenow, $typenow;
	$taxonomies = get_object_taxonomies($typenow);
	$post_type = $query->query['post_type'];
	if (! empty($taxonomies) && ! is_wp_error($taxonomies)) {
		foreach ($taxonomies as $tax) {
			if (! empty($tax)) {
				$q_vars = &$query->query_vars;
				if ($pagenow == 'edit.php'
				 && isset($q_vars[ 'post_type' ])
				 && $q_vars[ 'post_type' ] == $post_type
				 && isset($q_vars[ $tax ])
				 && is_numeric($q_vars[ $tax ])
				 && $q_vars[ $tax ] != 0
				) {
					$term = get_term_by('id', $q_vars[ $tax ], $tax);
					$q_vars[ $tax ] = $term->slug;
				}
			}
		}
	}
}

Hi,
the link after sorting is like edit.php?s&post_status=all&post_type=equipe etc.. and display empty results.
If i remove the s& manually it's works fine.
any idea how to correct that?
thanks

No, that's Core technology. s is the search parameter; it should be s=& if there is no search term.

thanks for the reply but it's strange I doesn't changed the code, and after filtering the url become like
edit.php?s&post_status=all&post_type=equipe