Following our recent work on interacting dark energy models (Nozari and Behrouz, 2016), we study cosmological dynamics of an extended dark energy model in which gravity is non-minimally coupled to the derivatives of a quintessence and a phantom field in a quintom model. There is also a phenomenological interaction between the dark energy and dark matter components. By considering an exponential potential as a self-interaction potential for quintom model, we obtain a scaling solution to alleviate the coincidence problem. The existence and stability of the critical points are discussed in details and it has been shown that in this setup the universe experiences a phantom divide crossing. We compare the model with recent observational data and find some constraints on the model’s parameters. We investigate also perturbations around the homogeneous and isotropic background in our Nonminimal Derivative Coupling (NMDC) quintom model.