Let $R$ be an associative ring. A multiplicative (generalized)-($\sigma,\tau$)-derivation $F$ is a map on $R$ satisfying $F(xy) = F(x)\sigma(y) + \tau(x)g(y)$ for all $x,y \in R$, where $\sigma,\tau$ are homomorphisms on $R$ and $g$ is any map on $R$. In this article, we have obtained some conditions on $R$, which make both $F$ and $g$ additive.