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We studied spin excitations in the magnetically ordered phase of the noncentrosymmetric Ba₂CoGe₂O₇ in high magnetic fields up to 33 T. In the electron spin resonance and far infrared absorption spectra we found several spin excitations beyond the two conventional magnon modes expected for such a two-sublattice antiferromagnet. We show that a multiboson spin-wave theory describes these unconventional modes, including spin-stretching modes, characterized by an oscillating magnetic dipole and quadrupole moment. In particular, the lack of inversion symmetry allows each mode to become electric dipole active and interact with light. Finally, we discuss the signatures of higher energy excitations in inelastic neutron spectrum.