  Without exceeding the limits of the conventional $\Lambda$CDM paradigm, we
argue for Yukawa law of interparticle interaction as the law of gravitation in
the real expanding inhomogeneous Universe. It covers the whole space and comes
up to take place of Newtonian gravity, which is restricted exclusively to
sub-horizon distances. The large-scale screening of gravitational interaction
between every two nonrelativistic massive particles is ensured by the
homogeneous cosmological background (specifically, by the nonzero average rest
mass density of nonrelativistic matter). We take advantage of the uniform
matter distribution case (i.e. the homogeneous Universe limit) to demonstrate
superiority of Yukawa gravity. Attention is also devoted to the concrete
particular case of inhomogeneity.
