  The present work investigates the general wormhole solution in Einstein
gravity with an exponential shape function around an ultrastatic and a finite
redshift geometry. The geodesic motion around the wormholes is studied in which
the deflection angle of the orbiting photon sphere is found to be negative
after a certain region, indicating the presence of repulsive effect of gravity
in both the ultrastatic and finite redshift wormholes. Various unbounded and
bounded timelike trajectories are presented on the wormhole embedding diagrams,
in which some of the bound orbits involve intersection points that may lead to
causality violating geodesics. Another class of closed timelike geodesics are
obtained in the unstable circular trajectory that appeared at the wormhole
throat. Finally, the trajectories are classified in terms of the family of CTG
orbits.
