  Black bounces are spacetimes that can be interpreted as either black holes or
wormholes depending on specific parameters. In this study, we examine the
Simpson-Visser and Bardeen-type solutions as black bounces and investigate the
gravitational wave in the background of these solutions. We then explore the
displacement and velocity memory effects by analyzing the deviation of two
neighboring geodesics and their derivatives influenced by the magnetic charge
parameter a. This investigation aims to trace the magnetic charge in the
gravitational memory effect. Additionally, we consider another family of
traversable wormhole solutions obtained from non-exotic matter sources to trace
the electric charge Q_e in the gravitational memory effect, which can be
determined from the far field asymptotic. Furthermore, this research aims to
explore the gravitational memory effect related to the variation in Bondi mass
for the Simpson-Visser and Bardeen-Type black bounces. The investigation will
also be conducted on a traversable wormhole solution that does not require any
exotic field. This study holds importance in not only identifying compact
objects such as wormholes through gravitational memory effects but also in
observing the charge Qe, which offers a tangible manifestation of Wheeler's
idea of "electric charge without charge."
