Beyond is the unknown "place" beyond all of existence. Beyond the Omniverse, beyond The Outside. What lies beyond could be something completely different than what we call existence. This would still be within The Box of course. The picture is what it looks like from our perspective.
A Godverse is a realm supposedly beyond the Omniverse. The idea that an omnipotent^1 being residing in this verse has the ability to be beyond all logic and reality allows the Godverse to be outside the limits of the Omniverse.
Discovery
An entity who came to be known simply as the 'Omniversal Traveler' exited the Omniverse to find any existence beyond the transfinite space within the great void known as 'The Outside'. The traveler wandered through countless realms and dimensions faster than the speed of light. Eventually reaching The Outside.
The traveler wandered throughout the dark void for time beyond reckoning. Only able to reside within the great void for so long before the pressure could crush him into nothingness, the traveler was soon to end his journey. However at the very limit of his intended distance from the Omniverse, he came across a distant spectrum of small bulbs of light. Tempting fate, the traveler wandered into the field of light shining within the dark void, where it had been previously thought to hold no other such existences.
Time passed on and on for many years throughout the infinite upon infinite realities as news of this adventurer was heard across many many worlds, even by hyper powerful entities like the Hexagon Lords, Hyperman, and The Overseer. Eventually this unnamed entity returned to the Omniverse. All over the Omniverse questions arose as to where he had ventured to, what he had seen. The only answer the traveler could give however was simply: 'I don't know'. It was then realized by the highest beings in existence that the Omniversal traveler had entered into a place of state and being different from all of existence itself.