Actually the new theory does explain the acceleration we are seeing. What these people have done is to apply a correction to the way one measure the shortest distance between to points on a curve. They quantum trajectories (first investigate by David Bohm) instead of classical geodesics. They apply the Bohmian trajectories to the "Raychaudhuri" equation and then derived quantum-corrected "Friedmann" equations, which describe the expansion and evolution of universe. The end result is that it removes the singularity that we call the Big Bang! In a way, it creates a cosmological constant that eliminates the need dark energy and explains the accelerating Universe we see. With the removal of the Big Bang, the Universe never had a beginning, it just appeared.
In a related article, the same group shows that gravitons can form a Bose-Einstein condensate at at temperatures that were present in the universe's epochs. That results in what appears to be the Big Bang from our vantage point. That is when we look back in time to the 2.2 degree kelvin cosmological background maybe what we are looking at are the vast reaches of a BEC of gravitons. The problem with cosmology is just when you think you understand, someone comes along with a new idea showing that you don't understand anything. Cheers.
