Motivated by seeking kinetic origins for seeds of the large-scale structure
formation in the universe, we investigate the properties of a generalized
axisymmetric Bianchi IX type model. Such a model, which is supposed to desc
ribe nun-interacting radiation of dust like matter posterior to decoupling,
has the advantage of behaving asymptotically as a close FRW model with a c
osmological constant. It shows a vanishing vorticity, a decreasing shear of
matter with time and a FRW chronology, which are properties that make it l
ikely when compared to observational constraints. The formula which provide
s us with the redshifts of sources is derived.