The geometry of ${\left[{\mathrm{NiCl}}_4\right]}^{2-}$ and $\left[{\mathrm{NiCl}}_2{\left({\mathrm{PMe}}_3\right)}_2\right]$ are:

Since ${\left[{\mathrm{NiCl}}_4\right]}^{2-}$ and $\left[{\mathrm{NiCl}}_2{\left({\mathrm{PMe}}_3\right)}_2\right]$ are $s{p}^3$ and $ds{p}^2$ hybridized they have tetrahedral and square planar geometry respectively.

Hence correct option is B