  The previously publicated analysis of transverse momentum spectra of
$\Lambda^0$ hyperons from LHC experiments (ALICE, ATLAS, CMS)in the comparison
with earlier experiments was reconsidered with correct spectra from STAR
collaboration. The LHC data at $\sqrt{s}$ = 0.9 and 7 TeV and the data of
proton-proton experiments of lower energies were fitted with the universal
formula that includes the energy dependent slope as the main parameter. The
dependence of average transverse momenta on $\sqrt{s}$ has been obtained with
the help of this formula. The asymptotics of the energy dependence of average
Pt shows the behavior $ ~ s^{0.05}$, that was not expected in early description
of hadron transverse momentum in the framework of Quark-Gluon String Model. The
previous important conclusion about spectra of cosmic rays was not changed: the
long debated "knee" in the cosmic proton spectra at $E_p= (2,5 - 4)*10^{15}$ eV
in laboratory system can not be considered any more as the result of dramatic
changes in the dynamics of baryon hadroproduction. The reason of the steadily
growing of average Pt seems situated outside the predictive power of QGSM.
Nevertheless the average transverse momentum can reach a constant value with
higher energies that has been predicted in our model long ago.
