Beard transplant hair falling out

It's possible that your hair may not fall out at all- this is unusual but it happens, and it doesn't particularly affect the final results. However you're only two weeks out, it's more likely that it's just too early to see shedding. Give it another month or two.

shock loss of your existing hair but this is not permanent and it will grow back. As far as the transplanted hair you will most likely go through a shedding phase before they start regrowing permanently.