No and this wasn't neglected by Einstein. General relativity is defined by the property that its equations are invariant under general coordinate transformations, which means that there doesn't exist any particulsr reference frame that's singled out from others for any reason other than convenience. The problem with understanding how the ΛCDM model emerges from a quantum description has to do with the fact that the group of diffeomorphisms is a noncompact group. So what is needed is to construct a formalism, whose symmetry group in the classical limit is the group of diffeomorphisms and, when quantum effects become relevant, takes into account the states thzt contribute. The only example where this has been carried out is for the space of states of extremal black holes.