Thanks a lot! I've just fixed it. It should be:
MB_Relationships_API::register( array(
'id' => 'posts_to_pages',
'from' => array(
'object_type' => 'post',
'admin_column' => 'true', // THIS!
),
'to' => array(
'object_type' => 'post',
'post_type' => 'page',
'admin_column' => 'after title', // THIS!
),
) );