$\left[ NiCl _{4}\right]^{2-}$
$Ni$ is in $+2$ oxidation state.
$Ni ^{2+}-[ Ar ] 3 d ^{8}$
Hybridization involved is $sp ^{3}$ as participating orbitas are $4 s$ and $4 p$.
$\left[ NiCN _{4}\right]^{2-}$
Ni is in $+2$ oxidation state.
$Ni ^{2+}-[ Ar ] 3 d ^{8}$
$CN ^{-}$is a strong field ligand. It causes the pairing of the $3 d$ electrons.
Hybridization involved is $dsp ^{2}$ as participating orbitas are $3 d , 4 s$ and $4 p$.