  We show that anisotropic energy of a 2D antiferromagnet is greatly enhanced
via stacking on a magnetic substrate layer, arising from the
sublattice-dependent interlayer magnetic interaction that defines an effective
anisotropic energy. Interestingly, this effective energy couples strongly with
the interlayer stacking order and the magnetic order of the substrate layer,
providing unique mechanical and magnetic means to control the antiferromagnetic
order. These two types of control methods affect distinctly the sublattice
magnetization dynamics, with a change of the ratio of sublattice precession
amplitudes in the former and its chirality in the later. In moir\'{e}
superlattices formed by a relative twist or strain between the layers, the
coupling with stacking order introduces a landscape of effective anisotropic
energy across the moir\'{e}, which can be utilized to create nonuniform
antiferromagnetic textures featuring periodically localized low-energy magnons.
