  In this paper we analyze the dilepton mass square $q^2$ dependency of single
lepton polarization asymmetries and CP violation for $\overline{B}\rightarrow
\overline{K}_0^{*}(1430) \ell^+\ell^-, \ell=\mu,\tau)$ in the 2HDM context.
Also, we study the averages of these asymmetries in the domain $4
m_{\ell}^2<q^2< (m_B-m_{{K}_0^{*}})^2$. Our study manifests that the
investigation of the above-mentioned asymmetries for $\overline{B}\rightarrow
\overline{K}_0^*(1430) \ell^+\ell^-$ processes could provide useful information
for probing new Higgs bosons in the future B-physics experiments.
