Yes, that is a Vaude cover. It often is a roll of the dice to find out if a particular brand of cover will work well with a particular helmet, but that cover fit well on that helmet. I discarded the helmet that I was wearing in that photo later, with UV damage, it was due for replacement. When I bought a new helmet, I tested the rain cover on the helmet in the store before I bought the new helmet.

I have always used those MTB type helmets with a visor on the front, and a helmet rain cover that goes over the visor is useful to keep the rain water from dripping off the helmet onto my glasses. And as you can see in the photo, I use a mirror that clamps onto that helmet visor. I used to wear hard hats for work, got used to having that brim in the rain so I could not imagine owning a bike helmet without a brim. Also had a snap on brim like that on my motorcycle helmets, but on a motorcycle at highway speeds the rain still hit my glasses.

I used to use the wrap around sunglasses with an insert inside that held separate corrective lenses. But I got my eyes lasered about ten years ago, PRK. My eyes are old enough that now I need readers for closeup, the glasses I was wearing in the photo are non-prescription safety glasses with reader bifocal lenses built in. I carry yellow glasses for rain or dark conditions, dark tint for daytime, but my daytime glasses are not safety glass rated.