The work covers the non-ordered microscopic fluxes of the particles in the equilibrium classic liquids. The aim is to investigate the properties of the statistical medium memory in the non-ordered cross molecular fluxes and microscopic density fluxes of the particle energy. The existence of the non-Markov effects in the transfer processes of the cross pulse density and energy of the liquid molecules has been proven. The significant special feature of the non-Markov parameter of the cross molecular fluxes in the spatial spectrum dispersion near the first coordination sphere has been discovered. The total identicity in the description of the cross molecular fluxes and collective microscopic vortical motions of the particles has been specified...