Is it that dark matter exist in a form of anti-energy and still in that state until now?

No. It seems more like it has zero energy, but all information.


I just wondering if big bang is really the culprit, then could it be big bang occur because of two separate dimension which is anti-matter and matter collapsing because something like blackholes that interact with matter and something like anti-blackhole where it spew matter?


No, except that the last big thing that happened in the big bang is that matter and anti-matter recombined resulting in mucho photons as well as axions. There was a tiny bit of matter in excess of anti-matter. That became the physical world. Thjat is why there is so much more axions and photons than anything else.

The Dark matter having most of the mass, caused galaxies of stars to collesque. The really big stars collapsed into black holes right away. That's how black holes came inti existence, as a result of dark matter.