How would current living species (exluding humans) on our planet  evolve to fit into this kind of scenario, all around the planet very little to no light and low temperatures.

It's a little hard to say. If you really mean no light, then you are talking about the extinction of all photosynthetic organisms which are (with a few exceptions) the basis of all food webs. So if this environmental change happened relatively quickly then, regardless of temperature I think most living species on the planet would fail to evolve - if plants have no light and animals have no possible food resource, there may not be much natural selection can do to help! So mass extinction rather than adaptive evolution woudl be the fate of most species.