这可以通过以下代码来完成.

// Save backend user and time for completion order
add_action('woocommerce_order_status_completed', 'user_has_completed_order');
function user_has_completed_order( $order_id ) {
    if ( ! is_admin() ) return;
    $user_id = get_current_user_id();
    if ( ! empty( $user_id ) && $user_id != 0 ) {
        $now = date('Y-m-d H:i:s');
        update_post_meta( $order_id, '_completed_by_user', $user_id );
        update_post_meta( $order_id, '_completed_datetime', $now );
    }
}
// Adding 1 new columns to backend order list
add_filter( 'manage_edit-shop_order_columns', 'custom_shop_order_column',11);
function custom_shop_order_column($columns)
{
    $reordered_columns = array();
    // Woocommerce version 3.3+ compatibility
    $location_after = version_compare( WC_VERSION, '3.3', '<' ) ? 'order_notes' : 'order_status';
    // Inserting the new column in a specific location
    foreach( $columns as $key => $column){
        $reordered_columns[$key] = $column;
        if( $key == $location_after ){
            $reordered_columns['completed_by'] = __( 'Completed by','woocommerce');
        }
    }
    return $reordered_columns;
}
// Adding the data for the additional column (example)
add_action( 'manage_shop_order_posts_custom_column' , 'custom_orders_list_column_content', 10, 2 );
function custom_orders_list_column_content( $column, $post_id )
{
    if( 'completed_by' == $column )
    {
        // Get custom post meta data
        $user_id = get_post_meta( $post_id, '_completed_by_user', true );
        $date_time = get_post_meta( $post_id, '_completed_datetime', true );
        $date = date('Y-m-d', strtotime($date_time));
        if( ! empty($user_id) ){
            $user_data = get_userdata( $user_id );
            $user_url = get_edit_user_link( $user_id );
            echo '<a href="'.$user_url.'" title="'.$date_time.'">'.$user_data->user_login.'</a>';
        }
    }
}

字符串
代码放在你的活动子主题（或活动主题）的function.php文件中。测试和工作。
它可以在所有woocommerce版本中工作，包括最后一个版本3.3，其中订单列表略有改进：

的数据