  We investigate the impact of the generalized uncertainty principle proposed
by some approaches to quantum gravity such as string theory and doubly special
relativity on the cosmology. Using generalized Poisson brackets, we obtain the
modified Friedmann and Raychaudhuri equations and suggest a dynamical dark
energy to explain the late time acceleration of the Universe. After considering
the interaction between dark matter and dark energy, originated from the
minimal length, we obtain the effective cosmological parameters and equation of
state parameter for dark matter and dark energy. Finally, we show that the
resulting model is equivalent to the Phantom and Tachyon fields.
