In this paper, we study dynamics of massless (photon and neutrino-like) particles in the spacetime of regular Bardeen black hole (BH) in novel four-dimensional Einstein-Gauss-Bonnet (4D EGB) theory. First, we have analyzed the hor properties of the spacetime of the Bardeen BH with respect to the Gauss-Bonnet (GB) coupling parameter alpha. Our detailed analysis has shown that the GB coupling parameter is limited by maximum and minimum values at, alpha is an element of (-0.15 divided by 1) and the extreme value of magnetic charge of the BH depends on the parameter alpha. We have explored motion of neutrino-like particles and photons around the Bardeen BH. We have also explored the possibility of mimicking cases of the spin of Kerr BH and charge of Reissner-Nordstrom BH by the Bardeen charge, providing the same values of impact parameter for photons corresponding to the BH shadow size. Finally, we have investigated spherically infalling accretion and shadow of the Bardeen BHs in 4D EGB theory.