We generalize quintom to include the tachyonic kinetic term along with the classical one. For such a model we obtain the expressions for energy density and pressure. For the spatially flat, homogeneous and isotropic Universe with Friedmann-Robertson-Walker metric of 4-space we derive the equations of motion for the fields. We discuss in detail the reconstruction of the scalar fields potential $U(phi,xi)$. Such a reconstruction cannot be done unambiguously, so we consider 3 simplest forms of $U(phi,xi)$: the product of $Phi(phi)$ and $Xi(xi)$, the sum of $Phi(phi)$ and $Xi(xi)$ and this sum to the $kappa$th power.
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