Here is one of my recent articles in a nice, condensed visual form. While baryon asymmetry is an intriguing unsolved problem in modern cosmology, it does not endanger the Big Bang theory in any significant way.
While it's always healthy to be sceptical about things and to re-examine the evidence supporting your science, it seems a worrying number of people are taking this far too far. The bottom line is that there is a wealth of evidence that supports the Big Bang theory which no other known theory can explain.
This is why I say that the universe must contain time. The universe is best thought of as a static 4-dimensional shape of which slices are all we can perceive. What really bites is that we all perceive different slices of this 4-dimensional shape, and how would that be possible if the universe were only 3D?
While I can find no fault with the deductive validity of this argument - the conclusion certainly seems to follow from the premises - I'm afraid this is as successful as the argument gets. Not just one, but both of the premises commit logical fallacies which they hide in the vagueness of their formulation.
It is not difficult to find online forums and blog posts that proclaim facts and arguments as if they were certain. People of all philosophical alignments will do this. Theists will proclaim what they believe to be indisputable facts like: "Something must have caused the Big Bang", and atheists are often guilty of prophetically declaring their favourite origin story for the universe: "Quantum fluctuations produced the universe" or "Many-worlds explains fine-tuning".
It is almost certainly the case that time behaved differently at the Big Bang singularity to how it does now, and that it is not possible to define a time "before the Big Bang". Defining a time before the universe would be nonsensical anyway because time is a part of the universe, not external to it.