  It is shown that the spin-fermion model found to be an effective low-energy
implementation of the three-band Emery model after Wannier transformation of
$p_x$- and $p_y$-orbitals in the oxygen ions subsystem is reduced to the
generalized Kondo lattice model. Its essential feature is the presence of
spin-correlated hoppings of the current carriers between distant cells.
Numerical calculations of the spin-polaron spectrum demonstrate the important
role of the distant hoppings.
