First, I will argue how background independent QFT-based regularisation methods can alleviate some important problems in quantum gravity.
Secondly, I will bring into closer contact the asymptotic safety (ASQG) and canonical (CQG) approach to quantum gravity. AS is a QFT-based approach to quantum gravity, which we will use to construct the generating functional of the n-point correlation functions. In particular, I will work with the Lorentzian version of the functional renormalisation group which we relate to the reduced phase space formulation of CQG.