A Dark Energy Model interacting with Dark Matter described by an effective EoS

In this latter author would like to consider interaction between a dark energy based on Generalized Uncertainty Principle (GUP) and a Dark Matter described by effective EoS: $P = (\gamma-1)\rho+p_{0}+\omega_{H}H+\omega_{H2}H^{2}+\omega_{dH}\dot{H}$ [1]-[3], which could be interpreted as a modification concerning to the some interaction between fluid $P=(\gamma-1)\rho$ with different components of the Darkness of the Universe. Two types of interaction, called sign-changeable, $Q=q(3Hb\rho_{m}+\beta\dot{\rho}_{m})$ [4],[5] and $Q=3Hb\rho_{m}+\beta\dot{\rho}_{m}$ are considered. EoS parameter of the mixture $\omega_{tot}$ are investigated. Statefinder diagnostics provided also.