Using the example of nanocomposite (NC) films (CoFeB)_x(LiNbO₃)_100-x, in which, at relatively high temperatures T ≿ 10 K, a "weakly insulating" regime in the temperature dependence of the conductivity logarithmic type σ ∝ lnT is observed, characteristic of a strong tunneling bond between granules, scaling in the behavior of the resistance of the anomalous Hall effect (AHE) resistance ρ_AHE from the longitudinal resistance R is studied in detail. The studies were performed in fields up to 14 T at temperatures T = 0.4-200 K in the range of metal phase content x ≈ 35-60 at.%, covering the percolation transition. It was found that the degree n in the scaling dependence ρ_AHE ∝ [ρ(T)]ⁿ behaves non-monotonically: in the ranges x ≈ 35-44 at.% and x ≈ 50-60 at.% there is a clear increase in the indicator, and in the range x ≈ 44-50 at.% the value of n practically does not change. We consider that the kink regions in the n(x) dependence indicate a change in the NC conductivity mechanism and determine the percolation threshold (at x_p ≈ 50 at.%) and the metal-insulator transition (x_c ≈ 44 at.%), which do not match up in these systems. The results of the analysis of the behavior of σ(T) at subhelium T = 0.4-3 K confirm this conclusion. The study of the magnetic properties of NC with changes in the content of the metallic phase by ferromagnetic resonance and magneto-optical spectroscopy also indicates the presence of features in the vicinity of concentrations x ≈ 44 and 50 at.%.