High-energy cosmic ray electrons interaction with Dark Matter particles are considered. In particular, a weakening of energy spectrum of cosmic electrons is predicted resulting from inelastic electron scattering on hyper-pions in the hypercolor extension of the Standard Model. Corresponding cross section and angular distributions of secondary neutrino are calculated and studied. We also briefly discuss some effects of scattering * 344103 Sodruzhestva str.35/1 apt.149, Rostov-on-Don, Russia. arXiv:1810.00372v1 [hep-ph] 30 Sep 2018 October 2, 2018 0:38 WSPC/INSTRUCTION FILE Neutrino˙DM 2 processes of such type.