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In this paper we examine magnitudes of quasars as a function of redshift indifferent frequency ranges (u,g,r,i,z). We show that on the smoothed curvesmag(Z) in frequency ranges u,g,r there are characteristic features both similarfor all the curves and different for different curves. At Z<2 all the curveshave practically the same form with two characteristic sections of the negativeslope, at Z>2 the forms of the curves significantly differ. The nature of thesedifferences can be interpreted as an influence of Lyman-alpha absorption. Thenwe analyze the dependencies on redshift of the magnitudes averaged over the skyin the range r, free fromLyman-alpha absorption effect, for galaxies andquasars and show that as for quasars and for galaxies the dependencies ofaverage magnitudes on Z have a nature of converging oscillations with areas ofnegative slope, corresponding to increase of apparent luminosity withincreasing of the distance. We calculate the corresponding values of theaverage absolute luminosities for the flat space and for different variants ofthe LambdaCDM model. In all cases they increase with the growth of theredshift. When the redshift increases from 0.02 to 2 then average radiationpower of galaxies increases by thousands times. Such changes appear to beimpossible which leads us to the assumption that these results are related tothe used calculation methods and the features of the metric tensor underlyingof the standard cosmological model. In the modified cosmological model whichbuilt on the metrics obtained with the considering the non-zero value of thedifferential of scale factor, appear features that are missing in the standardmodel, including the effect of increase of the apparent luminosity with theincrease of distance. Calculation allows obtaining a curves close todependencies of average magnitudes on redshift issuing from observation data.

Specific features of the average magnitudes and luminosities of quasars  and galaxies as a function of redshift and their interpretation in the  modified cosmological model