The spectrum of hole quasiparticles and the role of magnetic correlations has been considered in the self-consistent Irreducible Green Functions formalism, motivated from Strongly Correlated Electron systems for correlated electron models of high-Tc superconductivity. The hole quasiparticle dynamics has been discussed for t-J model and compared with that of the spin-fermion model. For this Kondo-Heisenberg-type model it was clearly pointed out on the self-energy level, beyond Hartree-Fock approximation, how the one-and two magnon processes define the true nature of carriers in HTSC. (author). 57 refs.