Hi,
“Settings->Post Types Order” is always protected by ‘manage_options’ capability.
There is the “Minimum level to use this plugin” options at the “Settings->Post Types Order” page.
‘Re-order’ menu item under “Posts”, “Pages” or “Custom post type” menus is protected depending from the choice made in the drop-down menu for the option above:
Administrator – manage_options
Editor – publish_pages
Author – publish_posts,
etc.
So you if did not grant ‘manage_options’, ‘publish_pages’, ‘publish_posts’ to your role and select ‘Administrator’, ‘Editor’ or “Author” for minimum level of access to “Post Types Order” (PTO) plugin users with your role should not see the options related to PTO plugin functionality.