The discovery of the Higgs boson at the Large Hadron Collider represents an important step towards understanding of electroweak symmetric breaking and the origin of mass. However, at present there’re still large uncertainties in the measured properties of the Higgs boson, most importantly, in its interactions with the rest of the Standard Model particles. This precludes us from identifying the true nature of the electroweak symmetry. In this talk I entertain the possibility that the electroweak symmetry is nonlinearly realised through anomalous Higgs couplings and discuss cosmological implications of such scenario, including dynamical generation of matter-antimatter asymmetry and gravitational waves.