  Understanding the mechanisms governing the optical activity of
layered-stacked materials is crucial to the design of devices aimed at
manipulating light at the nanoscale. Here, we show that both twisted and slid
bilayer graphene are chiral systems that can deflect the polarization of linear
polarized light. However, only twisted bilayer graphene supports circular
dichroism. Our calculation scheme, which is based on the time-dependent
Schr\"odinger equation, is particularly efficient for calculating the
optical-conductivity tensor. Specifically, it allows us to show the chirality
of hybridized states as the handedness-dependent bending of the trajectory of
kicked Gaussian wave packets in bilayer lattices. We show that nonzero Hall
conductivity is the result of the noncanceling manifestation of hybridized
states in chiral lattices. We also demonstrate the continuous dependence of the
conductivity tensor on the twist angle and the sliding vector.
