let $h < g$ both be noncompact connected semisimple real algebraic groups and $\gamma < g$ be a lattice. in the work of gorodnik--weiss, they showed that the distribution of dense $\gamma$-orbit on homogeneous space $g/h$ is asymptotically the same as $g$-orbit on $g/h$. one key ingredient in their proof is shah's theorem derived from the famous ratner's theorem. in this talk, we report an effective version of this result in the case $(g, h, \gamma) = (\mathrm{sl}_3(\mathbb{r}), \mathrm{so}(2, 1), \mathrm{sl}_3(\mathbb{z}))$. the proof uses recent progress by lindenstrauss--mohammadi--wang--yang towards an effective version of ratner's theorem. we also prove the general case if an effective version of ratner's theorem is provided. the talk is based on an ongoing work with pratyush sarkar.