  We present a theoretical investigation of the Goos-H\"anchen effect, i.e.,
the lateral shift of the light beam transmitted through one-dimensional
biperiodic multilayered photonic systems consisting of equidistantmagnetic
layers separated by finite size dielectric photonic crystals. We show that the
increase of the number of periods in the photonic-magnonic structure leads to
increase of the Goos-H\"anchen shift in the vicinity of the frequencies of
defect modes located inside the photonic band gaps. Presence of the linear
magnetoelectric coupling in the magnetic layers can result in a vanishing of
the positive maxima of the cross-polarized contribution to the Goos-H\"anchen
shift.
