I also got some additional information on paper which I like to share with you TRX enthusiast here.
The original 5-gear-box came with the bike and is packed in the YEC 6-gear box. That has some numbers:

The numbers shown are:
4NX-17410-70
4NX-17420-70
4NX-18512-70
4NX-18513-70
4NX-18540-70
The paper I got is even more interesting:


The 4FM-numbers refer to the YZF750R so i think the gearbox is mainly based on YZF750R gears with the axles being specially desigend for the TRX engine. 3LD refers to XTZ750 Tenere, but it's only the 'housing'.
Oh, here's the bike:

