Manually re-order the Event Espresso People post type archive order with the Post Attributes -> Order field

people_cpt_order_example.php

<?php
//* Please do NOT include the opening php tag, except of course if you're starting with a blank file

add_filter( 
  'FHEE__EventEspresso_core_domain_entities_custom_post_types_CustomPostTypeDefinitions__getCustomPostTypes', 
  'ee_modify_page_attributes_of_event_espresso_cpt' 
);
function ee_modify_page_attributes_of_event_espresso_cpt( $cpt_registry_array ) {
    if ( isset( $cpt_registry_array['espresso_people'] ) ) {
        $cpt_registry_array['espresso_people']['args']['supports'] = array( 
            'title', 
            'editor', 
            'author', 
            'thumbnail', 
            'excerpt', 
            'custom-fields', 
            'comments', 
            'page-attributes' 
        );
    }
    return $cpt_registry_array;
}

// for the front-end
// change the post query’s orderby parameter to menu_order so the posts display in the defined order
add_filter( 'posts_orderby', 'jf_eea_people_frontend_archive_orderby' );
function jf_eea_people_frontend_archive_orderby( $orderby ) {
    if( is_post_type_archive( 'espresso_people' ) || 
      is_tax( 'espresso_people_categories' ) ||
      is_tax( 'espresso_people_type' ) ) {
        $orderby = "menu_order";
        return $orderby;
    }
    // not a people archive, return default order by
    return $orderby;
}