freedom (d.o.f) of the universe if they equilibrate with the cosmic soup through their mixing with the active neutrinos. Recently from Planck data there is a strong bound on the sum of the light degrees of freedom ([*d.o.f*]{}) which at $2\,\sigma$ gives $N_{\nu} < 3.2$ and comes when we combine the $D/H$ ratio with the cosmic microwave background (CMB) baryon density [@Ade:2015xua; @Cyburt:2015mya]. However, the recent LSND [@Athanassopoulos:1995iw; @Aguilar:2001ty] and MiniBooNE [@AguilarArevalo:2007it; @AguilarArevalo:2010wv; @Aguilar-Arevalo:2013pmq] data of electron excess in the antineutrino mode requiress an eV scale sterile neutrino [@Abazajian:2012ys]. The Reactor anomalies [@Mention:2011rk; @Mueller:2011nm; @Huber:2011wv; @Abdurashitov:2005tb] and the gallium experiments calibration data [@Bahcall:1994bq; @Giunti:2006bj; @Giunti:2010wz; @Giunti:2010zu] also hinted the presence of eV scale sterile neutrinos. Therefore, to go around the bound on the light relativistic [*d.o.f*]{}, a number of mechanisms have been suggested to overcome it. Among them, the popular ones are as follows. In [@Dasgupta:2013zpn; @Hannestad:2013ana; @Cherry:2016jol; @Chu:2018gxk], authors have used secret interactions where the sterile neutrinos are charged under some hidden symmetry mediated by the light gauge boson, resulting in the mixing between active and sterile neutrinos being suppressed due to the large thermal potential experienced by the sterile neutrinos. In [@Yaguna:2007wi], they have shown that relativistic [*d.o.f*]{} 