Mine didn't. Mine took maybe two weeks before I thought I had enough to feed the chickens. As long as the mealworms stay warm enough, they breed like CRAZY!
Are you looking at mealworms as a sole source of quail food?
I started with small worms and eggs. My shed stays very warm, which helps them grow and multiply.
I think they wrote "2 months" to get started if you started from eggs or very small worms and it was cold. I believe I read they do best above 80 degrees. I could be very wrong though.
It didn't take me anywhere near 2 months and I started out with very small worms and eggs. And on top of that, I kept them in the house.
Well, if you are going to use them as the main source of quail food. You'll need to run several large totes. I would mail order them off the internet if that is the case.
You'll get more for cheaper by ordering offline.
I couldn't tell you how to do mealworms large scale. I just run one tote and pick out worms when I want to throw them to the chooks, quail, or turkey.