I will discuss a model of asymmetric Dark Matter that is alternative to the standard thermal WIMP paradigm. In this model the Ordinary and Dark Matters are made of the same particles with the Standard Model interactions in both sectors, except two sectors do not interact with each other by the Standard Model forces. They only interact gravitationally and by some BSM mechanisms that mix neutral components from both sectors. Thus, for example, neutrinos can oscillate into sterile neutrinos and the neutrons into sterile neutrons. Sterile neutrino search has motivated proposals of several experiments, e.g. PROSPECT at HFIR/ORNL and short baseline at Fermilab. Recently some indications have appeared that neutrons might be transformed into sterile neutron states, so-called "mirror neutrons". I will review these indications and will discuss a new possible small, easy, and not-expensive experiment where transformations of neutron to mirror neutron can be detected by reappearance of neutrons from behind the absorption wall in regeneration mode. Such an experiment can be performed, for example, at SNS. A possible layout for SNS and estimates of the sensitivity will be presented.