  Effect of the electroweak non-conservation of the baryon number could be a
key ingredient to explain the ratio of dark and baryonic densities. If dark
matter is explained by dark atoms, in which stable -2n charged particles are
bound with n nuclei of primordial helium, and this multiple charged particles
possess SU(2) electroweak charges, the excess of -2n charged particles over
their antiparticles can be related to baryon excess by sphaleron transitions.
It provides relationship between the density of asymmetric dark atom dark
matter and baryon asymmetry, The cosmological consequences of sphaleron
transitions were considered for the minimal walking technicolor (WTC) model,
which provides composite Higgs boson solution for the problem of Higgs boson
mass divergence in the Standard model. The realisation of multi-component dark
atom scenario is possible because the electric charges of new fermions are not
fixed and several types of stable multiple charged states are possible. In
particular cases the upper limits for the masses of techniparticles could be
found, at which dark atom interpretation of dark matter is possible. These
limits challenge search for multiple charged stable particles at the LHC.
