It's just formatted in a different way. Try to find a converter like this one, that converts their format into poker stars format. I found very easily by googling. I'm not sure if CAKE uses the same XML as your sites but here is the link.
I haven't found one that converts multiple files instantly from xml yet, just single hand, copy and paste conversions, unless the program above does the trick. I personally don't play at any but the major sites, so good luck.