Rud rasmussen?  

@Andersen I don't think so. Rud Rasmussen was one of Copenhagen's most esteemed cabinetmakers. The cabinets you find online are absolutely top notch in terms of craftsmanship. They usually have sophisticated details and are very delicately worked, inside and out. This cabinet looks very nice and is well made. But when I look at the interior, I see screwed-on battens and boards that do not meet the standards one would expect from Rud. Rasmussen. Rud Rasmussen also marked his pieces quite reliably, at least from a certain time on. The only mark here is that of the Middelfart Industrial Association. I therefore tend to suspect a manufacturer or cabinetmaker in Middelfart, of which there were quite a few.

Thanks a lot for the useful answer. I also like it, but I am worried by the cracks in the wood, as I saw a few from the photos. Not sure if it is worth the effort of a restoration… 

Also not sure. It depends on what you would do. You could fill the cracks with some wood filler or you could take the whole thing appart and reglue the boards. But you'd probably also have to rearrange some structural elements to allow for wood movement and prevent cracks in the future. This seems to be quite the effort.