Maybe some aspects of the universe weren't meant to be discovered. We humans see the universe through a very tiny distorting slit. Anyone who ventures to enhance this tiny slit gets a headache. You get to ask all kinds of questions - what are we?, what is the true nature of reality?, why are there limitations on what we are allowed to know?, why do we see the world the way we do?, why does this orderly mostly electromagntic stuff seem solid?, why does maths describe the universe so well?, etc. etc.
Maybe our logic is flawed and that's the reason we can't comprehend everything. But then what kind of higher logic rules the unexplainable? (Big Bang, infinities, black holes, emergent properties, arrow and the experience of time etc.)
As scientists uncover more aspects about existence and the true nature of reality, lay people would see that the world they perceive is not the world their incredible human drama rests upon. We do create a sort of reality within the wider reality and our senses are anything but a reliable tool to describe reality.
There are no colors in the real world. That there are no textures in the real world. There are no fragrances in the real world. There is no beauty, there is no ugliness. Nothing of the sort. Out there is a chaos of energy soup and energy fields. Literally. We take that and somewhere inside ourselves we create a world. Somewhere inside ourselves it all happens.
All that we can tentatively say that exists is four basic forces: gravity, strong interaction, weak interaction and electromagnetism, that make up everything in the known universe. "Tentatively" because 'exist' is a loaded word, no one knows for sure if there is an objective reality at all. So WTF is the material world then? We are the creators of this world. Literally. The classical world is our creation. It's almost unreal.
So how can we, under the chains of limited and distorted perception, from within the experience, describe the true nature of what we experience? How could we explain ourselves? It seems you either reach a conclusion about some higher power/intelligence behind this or you acknowledge that the universe is unknowable, thus rendering a full TOE unthinkable.