Nesting folding casement crank handle
I'm sorry to say that I don't know the manufacturer, either. This is a very peculiar design.
What I can tell you is that we don't sell a nesting cover that matches this, so any handle we supply won't mesh with the existing cover. We may be able to offer a different cover entirely that works in the same capacity, but I'd need more data before I can make a recommendation.
First, I'd need you to remove the existing cover and show me the operator base underneath. Then, open the window and check the operator arm for a name or logo. The company that made the operator is different from the company that made the window. I don't care about who made the window, but I want to know who made the operator. It should be plainly printed on the arm.