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We construct explicit Drinfel'd twists for the generalized Cartan type $H$Lie algebras in characteristic $0$ and obtain the corresponding quantizationsand their integral forms. Via making modular reductions including modulo $p$reduction and modulo $p$-restrictedness reduction, and base changes, we derivecertain modular quantizations of the restricted universal enveloping algebra$\mathbf u(\mathbf{H}(2n;\underline{1}))$ in characteristic $p$. They are newnon-pointed Hopf algebras of truncated $p$-polynomial noncommutative andnoncocommutative deformation of prime-power dimension $p^{p^{2n}-1}$, whichcontain the well-known Radford algebras as Hopf subalgebras. As a by-product,we also get some Jordanian quantizations for $\mathfrak {sp}_{2n}$.

Modular quantizations of Lie algebras of Cartan type $H$ via Drinfeld Twists