Summary: ``In this paper, we introduce the notion of the one-sided generalized $(\alpha, \beta)$-reverse derivation of a ring $R$. Let $R$ be a semiprime ring, $\varrho$ be a non-zero ideal of $R$, $\alpha$ be an epimorphism of $\varrho$, $\beta$ be a homomorphism of $\varrho$ ($\alpha$ be a homomorphism of $\varrho$, $\beta$ be an epimorphism of $\varrho$) and $\gamma : \varrho\to R$ be a non-zero $(\alpha, \beta)$-reverse derivation. We show that there exists $F : \varrho\to R$, an $l$-generalized $(\alpha, \beta)$-reverse derivation (an $r$-generalized $(\alpha, \beta)$-reverse derivation) associated with $\gamma$ iff $F (\varrho), \gamma(\varrho) \subset C_R(\varrho)$ and $F$ is an $r$-generalized $(\beta, \alpha)$-derivation (an $l$-generalized $(\beta, \alpha)$-derivation) associated with $(\beta, \alpha)$-derivation $\gamma$ on $\varrho$. This theorem generalized the results of A. Aboubakr and S. Gonzalez proved in [1, Theorem 3.1, and Theorem 3.2].''