By considering 'Planck mass' as a characteristic massive seed and by replacing big bang with a growing Planck ball, an evolving model of quantum cosmology can be developed. With reference to increasing support for large scale cosmic anisotropy, preferred directions, quantum mechanical demand of cosmic spin and by considering a decreasing trend of angular velocity, from the beginning of Planck scale, we have developed a procedure for estimating the trend of all cosmic physical parameters. From and about the baby universe, in all directions, cosmic acceleration can be understood with increasing expansion velocity and decreasing total matter density ratio. We would like suggest that, from the beginning of Planck scale, 1) Dark matter can be considered as a kind of cosmic foam responsible for formation of galaxies. 2) Cosmic angular velocity decreases with square of the decreasing cosmic temperature. 3) Increasing ratio of Hubble parameter to angular velocity plays a crucial role in estimating increasing cosmic expansion velocity and decreasing total matter density ratio. 4) There is no need to consider dark energy for understanding cosmic acceleration. With further study, cosmological nucleosynthesis and dark matter synthesis along with mass generation mechanism can be reviewed in a quantum cosmological approach.