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Nonreciprocal transport and propagation of quantum particle and current, such as electron, photon, spin, and phonon, are known to occur in the materials system with broken inversion symmetry. One example is electrical magnetochiral anisotropy (eMChA), a change in resistivity that depends linearly on the applied current and magnetic field. In twisted TMDs homobilayers. the interlayer coupling features sensitive dependence on the atomic registry between the constituting layers, where the moiré pattern manifests itself as a location-dependent Zeeman field acting on the active layer pseudospin. In this way, we use the semiclassical Boltzmann transport formalism within the constant relaxation-time approximation to express the current density at order E2B in terms of the energy dispersion and intrinsic magnetic moment of conduction electrons. We further utilize symmetry analysis to find the specific constraint of eMChA coefficients in our system.