If I understand correctly, you are trying to find the difference between the following products?
https://www.galaxus.ch/de...

the one for 580 SFr. is the KVL85.004SI
the one for 656 SFr. is the KVL85.594SI

According to Kenwood itself, the accessories make the difference:
https://www.kenwoodworld.com/de-ch...
--> has less accessories: https://dam.kenwoodworld.com/984x775...
https://www.kenwoodworld.com/de-de...
--> has more accessories: https://dam.kenwoodworld.com/984x775...

the cheaper version has no additional accessories. the one for 656.- also has the meat grinder, food processor and the glass attachment for pureeing, i.e. smoothies. since i wanted the food processor and the smoothie attachment anyway, it was cheaper this way. the accessories also cost around 100 euros each, so it was cheaper for me.

If I see it correctly, different accessories are included.