  Based on the Jacobi metric method, this paper studies the deflection of a
charged massive particle by a novel four-dimensional charged
Einstein-Gauss-Bonnet black hole. We focus on the weak field approximation and
consider the deflection angle with finite distance effects. To this end, we use
a geometric and topological method, which is to apply the Gauss-Bonnet theorem
to the Jacobi space to calculate the deflection angle. We find that the
deflection angle contains a pure gravitational contribution $\delta_g$, a pure
electrostatic $\delta_c$ and a gravitational-electrostatic coupling term
$\delta_{gc}$. We also show that the electrostatic contribution $\delta_c$ can
also be computed by the Jacobi metric method using the GB theorem to a charge
in a Minkowski flat spacetime background. We find that the deflection angle
increases(decreases) if the Gauss-Bonnet coupling constant $\alpha$ is
negative(positive). Furthermore, the effects of the BH charge, the particle
charge-to-mass ratio and the particle velocity on the deflection angle are
analyzed.
