The sentence sounds unclear. Are you referring to education?

As it stands your sentence is incomplete. For example you could write: The production and publishing of books/articles/essays about knowledge attained by young children. OR The production and publishing of research papers/essays/articles about the development of cognition in young children.

Knowledge is publishable but not cognition, which is a mental process. I would go with either "knowledge production and publication" or "knowledge generation and dissemination".