“…The violation of null energy condition needs to be handled with care, in order not to spoil the usual thermal history and the sequence of epochs after the bounce. Nevertheless, such violations can easily be acquired from modified [7] or quantum gravity [12]. In particular, they can be eas- * Electronic address: geminas@phys.uoa.gr † Electronic address: msaridak@phys.uoa.gr ‡ Electronic address: pstavrin@math.uoa.gr § Electronic address: alktrian@phys.uoa.gr ily acquired in the Pre-Big-Bang [13,14] and the Ekpyrotic [15,16] models, in gravity actions with higher order corrections [17,18], in f (R) gravity [19,20], in f (T) gravity [21], in braneworld scenarios [22,23], in non-relativistic gravity [24][25][26], in Galileon theory [27,28], in massive gravity [29], in Lagrange modified gravity [30], in loop quantum cosmology [31][32][33], etc.…”