  Asymptotic Safety (AS) Program for quantum gravity keeps the same fields and
symmetries with General Relativity and studies the associated gravitational
action as a fundamental part of the complete theory at the nonperturbative
level with the help of functional renormalization group (RG) techniques. An
important phenomenological task that can test the new point of view of AS
approach is the discovery of RG improved cosmologies and black holes. In this
work, we analyze the properties of recently found non-singular spherically
symmetric and non-singular cosmological solutions. Furthermore, we derive a
novel consistent set of modified Einstein field equations, in the spirit of AS,
which respects the Bianchi identities. This new set of equations extend
previously published modified Einstein equations which arise by adding
appropriate covariant kinetic terms to the action.
