They intend on dominating the human species through use of mutagens that would turn humans into Amnion themselves, but for now are held at bay in their section of the universe - what humans call forbidden space.
The entity's ultimate goal is to overcome humanity through the use of mutagenic agents that would change humans into Amnion, but for now, they are confined to their own sector of the cosmos, which is considered taboo or off-limits by human standards.