Archived Post Shows Up In Site Search

Archived posts show up in the default WordPress site search

https://example.com/?s=keyword

You could add a bit of code to remove archived from the search

function wb_search_filter_archived( $query ) {
    if ( ! is_admin() && $query->is_main_query() ) {
        // Not a query for an admin page.
        // It's the main query for a front end page of your site.
            $query->set( 'post_status', array( 'publish' ) );
        }
    }
add_action( 'pre_get_posts', 'wb_search_filter_archived');