  The objective of this paper is to analyze the weak deflection angle of
Einstein-Gauss-Bonnet gravity in the presence of plasma medium. To attain our
results, we implement the Gibbons and Werner approach and use the Gauss-Bonnet
theorem to Einstein gravity to acquire the resulting deflection angle of
photon's ray in the weak field limit. Moreover, we illustrate the behavior of
plasma medium and non-plasma mediums on the deflection of photon's ray in the
framework of Einstein-Gauss-Bonnet gravity. Similarly, we observe the graphical
influences of deflection angle on Einstein-Gauss-Bonnet gravity with the
consideration of both plasma and non-plasma mediums. Later, we observe the
rigorous bounds phenomenon of the greybody factor in contact with
Einstein-Gauss-Bonnet gravity and calculate the outcomes, analyze graphically
for specific values of parameters.
