Here is the Luna Badge range
Luna gives us 'lunar' from Latin lucere, meaning "to shine." As the race to be the first person on the moon gathered pace, Innocenti launched the Luna range of Lambrettas.
The Italian market models were called Lui. A small chromed 'I' badge was fitted to the leg shields just underneath the head set and they had a Lui badge. The export market models were called Vega or Cometa with the Lui badge being replaced with a Vega badge.
These badges are available here at Scooter Surgery.
I would welcome any information about them.