A_s~,~~~~B=\rho_{\rm Ch0}^\eta
(1-A_s)~,\label{As}$$ where $A_s$ is a dimensionless parameter. Using Eqs. (\[scaling\]) and (\[As\]), one gets $$A_s={\rho_{X0}\over \rho_{X0}+\rho_{dm0}}={\Omega_X^0\over
1-\Omega_{b}^0}~,$$ where the second equality stands for the cosmological model involving the baryon matter component. We have assumed here that the space of the Universe is flat. Hence, the NGCG energy density can be expressed as $$\rho_{\rm Ch}=\rho_{\rm Ch0}
a^{-3}[1-A_s(1-a^{-3w_X\eta})]^{1/\eta}~.\label{ngcg}$$ Making use of Eqs. (\[chrho\]), (\[rhox\]), (\[rhodm\]), and (\[ngcg\]), the energy densities of dark energy and dark matter can be re-expressed as $$\rho_X=\rho_{X0} a^{-3(1+w_X\eta)}\left[1-{\Omega_X^0\over
1-\Omega_{b}^0}(1-a^{-3w_X\eta})\right]^{{1\over\eta}-1}~,\label{de}$$ $$\rho_{dm}=\rho_{dm0} a^{-3}\left[1-{\Omega_X^0\over
1-\Omega_{b}^0}(1-a^{-3w_X\eta})\right]^{{1\over\eta}-1}~.\label{dm}$$

The whole NGCG fluid satisfies the energy conservation, but dark energy and dark matter components do not obey the energy conservation separately; they interact with each other. We depict this interaction through an energy exchange term $Q$. The equations of motion for dark energy and dark matter can be written as $$\dot{\rho}_X+3H(1+w_X)\rho_X=Q~,$$ $$\dot{\rho}_{dm}+3H\rho_{dm}=-Q~,$$ where dot denotes a derivative with respect to time $t$, and $H=\dot{a}/a$ represents the Hubble parameter. For convenience we define the effective equations of state for dark energy and dark matter through the parameters $$w_X^{(e)}=w_X-{Q\over 3H\rho_X}~,$$ $$w_{dm}^{(e)}={Q\over 3H\rho_{dm}}~.$$ According to the definition of the effective equations of state, the equations of motion for dark energy and dark matter can be re-expressed 