Considering (now getting back to the OP) how many re-adjustable parameters are allowed for the BB to make it a viable theory alone makes it non-viable. The problems of big bang in other words have been ignored by processes of nip and tuck.
Some of the biggest problems came from when it was first created. We began the universe at the size of about a blood cell, but as small as that was did not leave enough room required for cosmic expansion or the age-requirements of certain galaxies. Starting it smaller, infinitesimally-smaller, much smaller than a proton we were able to start time off correctly as far as we have fudged the general view, (with superclusters with serious error margins which have been ignored) but we required a new modification to account for background temperatures.
As was suggested by the OP link, Eddington first concluded a background temperature of 2.7k but was created from a gradual fog of radiation expelled from galaxies and supergalaxies filling the space inbetween. Of course, you'd expect it could not be completely homogeneous if this was the case and it turns out, as a little bit of info the link does not give, is that the background temperatures is accurate to a 10,000th degree of error in each direction of spacetime.
To account for the background radiation, instead of adopting Eddingtons model we were left with, strangely enough an entirely new phenomenon called rapid inflationary expansion which may have even required itself a field mediated by ''inflatons''.
What was science thinking I wonder in taking this path? Einstein once said that physics should be kept simple but no simpler, but it seems physics decided to account for the background radiation simply for the remnant of the BB smoothed out by cosmic inflation.
If this was the case, then cosmologists are aware that after inflation, parts of the universe would remain expanding at different rates. It's left us a very complicated theory to deal with. It would have been much simpler to conclude that everything has an eternal feature to it instead of believing that there necesserily needed to be a beginning to the universe. It would have been much simpler to think that the universe always had some kind of energy density inside of it in the form of virtual particles and that nature would allow under certain conditions longer lived fluctuations which makes the observable universe as we see it today.
A beginning of time is a very poetic, very logical (and some might even consider a deterministic) view of reality. Needless to say, a universe which has been around forever could be just as deterministic.