  An RD-space $\mathcal{X}$ is a space of homogeneous type in the sense of
Coifman and Weiss with the additional property that a reverse doubling property
holds in $\mathcal{X}$. In this setting, the authors establish the boundedness
of bilinear $\theta$-type Calder\'on-Zygmund operator $T_{\theta}$ and its
commutator $[b_1,b_2,T_{\theta}]$ generated by the function $b_1,b_2\in
BMO(\mu)$ and $T_{\theta}$ on generalized weighted Morrey space
$\mathcal{M}^{p,\phi}(\omega)$ and generalized weighted weak Morrey space
$W\mathcal{M}^{p,\phi}(\omega)$ over RD-spaces.
