I wouldn't. Might be ok, but might not be ok too, so why risk it? Not hard to mix two lots separately.
I would suggest giving one, wait a week and then give the other, as to being the most effective and safest way to go about it.
Giving both at the same time could lead to them "competing", with both sides "losing". Giving one first would allow that one to "do its thing" before adding the second which will then get a clear run at "doing its own thing". Adding both together may be giving too much of a good thing all at once or may lead to other problems not fully realised by either manufacturer when developing the products.
Hope this helps........... Organoan.