We consider a model based on p-form kinetic Lagrangians in the context of dark energy.The Lagrangian of the model is built with kinetic terms of the field strength for each p-form coupled to a scalar field φ through a kinetic function.We assume that this scalar field is responsible for the present accelerated expansion of the Universe.Since we are interested in cosmological applications, we specialize the analysis to a 4-dimensional case, using an anisotropic space-time.By studying the dynamical equations, we investigate the evolution of the dark energy density parameter, the effective equation of state and the shear induced by the anisotropic configuration.