As the name implies, this is a universal base and should therefore fit on any commercially available machine.
It is attached with four screws that can be adjusted along the diagonals. I use Bauknecht appliances myself, and it works without any problems.

I can't answer that question for a specific brand (Miele). The dimensions are in the description and there should hardly be any problems with the weight. The two I bought each have a washing machine and a tumble dryer. Everything is tip-top.