  By studying the impact of a perpendicular magnetic field $B$ on AB-bilayer
graphene (AB-BLG) under dual gating, we yield several key findings for the
ballistic transport of gate $U_\infty$. Firstly, we discover that the presence
of $B$ leads to a decrease in transmission. At a high value of $B$, we notice
the occurrence of anti-Klein tunneling over a significant area. Secondly, in
contrast to the results reported in the literature, where high peaks were found
with an increasing in-plane pseudomagnetic field applied to AB-BLG, we find a
decrease in conductivity as $B$ increases. However, it is worth noting that in
both cases, the number of oscillations decreases compared to the result in the
study where no magnetic field was present $(B = 0)$. Thirdly, at the neutrality
point, we demonstrate that the conductivity decreases and eventually reaches
zero for a high value of $B$, which contrasts with the result that the
conductivity remains unchanged regardless of the value taken by the in-plane
field. Finally, we consider the diffusive transport with gate $U_\infty = 0.2
\gamma_1$ and observe two scenarios. The amplitude of conductivity oscillations
increases with $B$ for energy $E$ less than $U_\infty$ but decreases in the
opposite case $E>U_\infty$.
