  The Hamiltonian of a two dimensional (2D) magnetic material in the strong
correlation regime with a spin texture, for which both azimuthal and polar
angle changes, is solved using $su(2)$ path integral method. The dependence of
the Chern number on the atomic spin ($S$), azimuthal angle ($\vec{q}_{1}$) and
polar angle ($\vec{q}_{2}$) modulation vector of the spin texture on a
bipartite honeycomb lattice is found. For $S \leq 3$ it was found that Chern
number depends strongly on $\vec{q}_{2}$ and $S$. We discuss applicability of
the model to several van der Waals magnets. Experimentally, it is expected
that, with increase in spin modulation vector the sign of the topological Hall
conductivity changes, $+\sigma_{xy}^{THE} \to -\sigma_{xy}^{THE}$ or
vice-versa, when $S$ is constant. We also propose several heterostrucures for
experimental realization of this effect.
