  Leptoquark (LQ) models are well motivated solutions to the $(g-2)_{\mu}$
anomaly. In the minimal LQ models, only specific representations can lead to
the chiral enhancements. For the scalar LQs, the $R_2$ and $S_1$ can lead to
the top quark chiral enhancement. For the vector LQs, the $V_2$ and $U_1$ can
lead to the bottom quark chiral enhancement. When we consider the LQ and
vector-like quark (VLQ) simultaneously, there can be more scenarios. In our
previous work, we considered the scalar LQ and VLQ extended models with up-type
quark chiral enhancement. Here, we study the scalar LQ and VLQ extended models
with down-type quark chiral enhancement. We find two new models with $B$ quark
chiral enhancement, which originate from the bottom and bottom partner mixing.
Then, we propose new LQ and VLQ search channels under the constraints of
$(g-2)_{\mu}$.
