  A solution to the coincidence and Big Rip problems on the bases of an
anisotropic space-time is proposed. To do so, we study the interaction between
viscous dark energy and dark matter in the scope of the Bianchi type-I
Universe. We parameterize the viscosity and the interaction between the two
fluids by constants $\zeta_{0}$ and $\sigma$ respectively. A detailed
investigation on the cosmological implications of this parametrization has been
made. We have also performed a geometrical diagnostic by using the statefinder
pairs $\{s, r\}$ and $\{q, r\}$ in order to differentiate between different
dark energy models. Moreover, we fit the coupling parameter $\sigma$ as well as
the Hubble's parameter $H_{0}$ of our model by minimizing the $\chi^{2}$
through the age differential method, involving a direct measurement of $H$.
