It seems that one must be of Trinity Origin or Trinitized Origin and/or Embraced to represent the Trinity both in the universes of time and space and the future outer levels?
Do you mean trinitized by one or more members of the Trinity?
13:1.12 (146.1) The secrets of Vicegerington include the secrets of trinitization, and trinitization constitutes the secret of authority to represent the Trinity, to act as vicegerents of the Gods. Authority to represent the Trinity attaches only to those beings, revealed and unrevealed, who are trinitized, created, eventuated, or eternalized by any two or all three of the Paradise Trinity. Personalities brought into being by the trinitizing acts of certain types of glorified creatures represent no more than the conceptual potential mobilized in that trinitization, albeit such creatures may ascend the path of Deity embrace open to all of their kind.
It looks like creature-trinitization does NOT allow the personality to act as a vicegerent of the Gods. The way I’m reading this is that these individuals only represent all the potentials of a single concept. In order to be a vicegerent of the Gods, it seems that trinitization would have to concern more than just one concept. However, whoever is representing that one single concept is probably the epitome of all there is concerning that topic in this universe age. Does that sound right?
In my current state of confusion and discovery, I would say “no”, that doesn’t sound right….completely. But hey, don’t take anything I say on this topic as declarative!
I would agree that only Creature Trinitized beings are limited to the expression of “one single concept” and this is not a limitation or description of the unrevealed Deity Trinitized or the described Trinity Embraced Sons, either one, but especially not a limitation of the Embraced Ascending and Descending Sons (as those Deity Trinitized remain unrevealed as do many orders of Creature Trinitized). I think it is only a limitation of Creature Trinitized beings…the sons of Sons. And this, I presume, is the reason for Re-Trinitization of those by the later Embrace….a transformative enhancement of capabilities perhaps? See below:
22:1.12 (244.3) The Trinitized Sons of Perfection. The Celestial Guardians and their co-ordinates, the High Son Assistants, comprise a unique group of twice-trinitized personalities. They are the creature-trinitized sons of Paradise-Havona personalities or of perfected ascendant mortals who have long distinguished themselves in the Corps of the Finality. Some of these creature-trinitized sons, after service with the Supreme Executives of the Seven Master Spirits and after serving under the Trinity Teacher Sons, are retrinitized (embraced) by the Paradise Trinity and then commissioned to the courts of the Ancients of Days as Celestial Guardians and as High Son Assistants. Trinitized Sons of Perfection are assigned directly to the superuniverse service without further training.
Funny….a re-read of the above reveals a new perception! The Trinitized Sons of Perfection began as Creature Trinitized beings but they are not considered “Trinitized Sons” until Embraced after their birth/creation by the Embraced Sons! See below:
13:1.12 (146.1) The secrets of Vicegerington include the secrets of trinitization, and trinitization constitutes the secret of authority to represent the Trinity, to act as vicegerents of the Gods. Authority to represent the Trinity attaches only to those beings, revealed and unrevealed, who are trinitized, created, eventuated, or eternalized by any two or all three of the Paradise Trinity. Personalities brought into being by the trinitizing acts of certain types of glorified creatures represent no more than the conceptual potential mobilized in that trinitization, albeit such creatures may ascend the path of Deity embrace open to all of their kind.
It appears Creature Trinitized creates a limited-function being until Embraced by “any two or all three of the Paradise Trinity”.
Does that sound right? 
"Live loyally today—grow—and tomorrow will attend to itself. The quickest way for a tadpole to become a frog is to live loyally each moment as a tadpole."
22:8.1 (251.5)