been proposed. In one picture, the present-day dwarf galaxies could have been more massive in the past, and they were transformed and reduced to their present masses by strong tidal stripping (e.g., Kravtsov, Gnedin & Klypin 2004). Another very popular picture is based on suppression of star formation due to supernova feedback (SF), photoionization (Okamoto et al. 2008; Brooks et al. 2013 (B13)), and reionization. In particular, reionization can prevent the acquisition of gas by DM haloes of small mass, then “quenching” star formation after $z\simeq10$ (Bullock, Kravtsov, & Weinberg 2000; Ricotti & Gnedin 2005; Moore et al. 2006). This would suppress dwarfs (dSphs) formation or could make them invisible. Another solution combines the change of central density profiles of satellites from cuspy to cored (Zolotov et al. 2012 (Z12); B13), which makes the satellites more subject to tidal stripping and even subject to being destroyed (Strigari et al. 2007; Peñarrubia et al. 2010 (P10)). Tidal stripping is enhanced if the host halo has a disc. Disc shocking due to the satellites passing through the disc produce strong tidal effects on the satellites, even stronger if the satellite has a cored inner profile. The astrophysical solutions based on the role 