Not sure if you still need it but:

Left Stick:
Horizontal=X axis, Vertical=Y axis

Right Stick:
Horizontal=Rz axis, Vertical=Z axis

Hat:
Standard POV values (ie; not axes or buttons)

Buttons:
As in your diagram.

Left Trigger:
Button 10 (for drivers reporting 4 axis) or Rx axis (for drivers reporting 6 axis)

Right Trigger:
Button 11 or Ry axis