  Unification of gravity with other interactions, achieving the ultimate
framework of quantum gravity, and fundamental problems in particle physics and
cosmology motivate to consider extra spatial dimensions. The impact of these
extra dimensions on the modified theories of gravity has attracted a lot of
attention. One way to examine how extra dimensions affect the modified
gravitational theories is to analytically investigate astrophysical phenomena,
such as black hole shadows. In this study, we aim to investigate the behavior
of the shadow shapes of higher-dimensional charged black hole solutions
including asymptotically locally flat (ALF) and asymptotically locally AdS
(ALAdS) in Einstein-Horndeski-Maxwell (EHM) gravitational theory. We utilize
the Hamilton-Jacobi method to find photon orbits around these black holes as
well as the Carter approach to formulate the geodesic equations. We examine how
extra dimensions, negative cosmological constant, electric charge, and coupling
constants of the EHM gravity affect the shadow size of the black hole. Then, we
constrain these parameters by comparing the shadow radius of these black holes
with the shadow size of M87* supermassive black hole captured by the Event
Horizon Telescope (EHT) collaborations. We discover that generally the presence
of extra dimensions within the EHM gravity results in reducing the shadow size
of higher-dimensional ALF and ALAdS charged black holes, whereas the impact of
electric charge on the shadow of these black holes is suppressible....
