Thanks for passing by Rickie. Let me try to answer your questions.

Q1: So, does this mean that the hotter the universe gets (solar radiation, warming and all), the quicker or faster the creation of dark matter and its subsequent movement?
Q2: At the rate of expansion and drifting of the universe, does it rule out the eventual chance or possibility of the natural formation of the dark matter?

A very hot universe means a lot of energy to create some pairs of particles. However, those freshly created guys were usually meeting their 'partner' quite quickly and turning back into energy. We had both the creation and annihilation processes in equal quantity.

With the expansion of the universe, the temperature cooled down and there was at some point not enough energy locally available to allow for the creation process. So that only annihilation was working and the global density of dark matter were thus going down. But at some point, the annihilation process stopped too. Then, the dark matter density freezes out.

You can probably find more information here.

Does it help?