  Recently the non-local gravity theory has come out to be a good candidate for
an effective field theory of quantum gravity and also it can provide rich
phenomenology to understand late-time accelerating expansion of the universe.
For any valid theory of gravity, it has to surmount solar system tests as well
as strong field tests. Having motivations to prepare the framework for the
strong field test of the modified gravity using Extreme Mass Ratio
Inspirals(EMRIs), here we try to obtain the metric for Kerr-like blackhole for
a non-local gravity model known as RR model and calculate the shift in orbital
frequencies of a test particle moving around the blackhole. We also derive the
metric for a rotating object in the weak gravity regime for the same model.
