  We study the superlattice minibands produced by the interplay between moir\'e
pattern induced by hexagonal BN substrate on graphene layer and the interlayer
coupling in bilayer graphene with Bernal stacking (BLG). We compare moir\'e
miniband features in BLG, where they are affected by the interlayer asymmetry
of BLG-hBN heterostructure and trigonal warping characteristic for electrons in
Bernal-stacked bilayers with those found in monolayer graphene.
