What is the ruling on the action of a female questioner who allocated a portion of the profit from goods her family donated to a charity association to meet her household needs without their knowledge?

What we understand from the question is that you took the items from your family as a donation, exceeding their presumed value, for the charitable organization, and they were sold on that basis. Therefore, it is not permissible for you to take any part of their profit to spend on household necessities or anything else. Rather, all of it belongs to the charitable organization. Consequently, you are required to return what you took from that money to the charitable organization.