  We show the way of dark matter and dark energy presentation via ansatzs on
the kinetic energies of the fields in the two-component chiral cosmological
model. To connect a kinetic interaction of dark matter and dark energy with
observational data the reconstruction procedure for the chiral metric component
$h_{22}$ and the potential of (self)interaction $V$ has been developed. The
reconstruction of $h_{22}$ and $V$ for the early and later inflation have been
performed. The proposed model is confronted to $\Lambda CDM$ model as well.
