What effect on sequence of font style on the menu?

Hi,
What effect on sequence of font style on the menu? Specially if I have more than the standard style name.

as attached FontBook shows different ordering not as Adobe illustrator !

Is the weightClass parameter set correctly?

Apple software does some guessing for the order, and it is unfortunately not documented. So, you can control the order in adobe menus, but there is nothing you can do for Apple menus, sorry.