Traversability of wormhole solutions in asymptotically safe gravity

In this paper we study the traversability of a wormhole in context asymptotically safe gravity (ASG) for two different cases, namely, spherical case and pseudospherical case. We carry out an analysis throat with specific choice cutoff function $f=\ensuremath{\xi}R$. Recently, has been performed by Moti Shojai [Phys. Rev. D 104, 066016 (2021)], however authors consider only classical source constant state parameter $\ensuremath{\omega}$. Here generalize their ways: (a) which is dependent position $\ensuremath{\omega}(r)$, (b) ASG improvement source. have showed that it possible to exotic nonexotic matter, but kind matter highly on wormhole's parameters.