$R\text{-}\mathrm{M}\mathrm{o}\mathrm{d}$-enriched categories are left $\underset{‾}{R}$-module objects of $Cat(\mathbb{A}\mathrm{b})$ and $Cat(\mathbb{A}\mathrm{b})$-enriched functors

We establish the feasibility of investigating the theory of $R\text{-}\mathrm{M}\mathrm{o}\mathrm{d}$-enriched categories, for any commutative and unitary ring $R$, through the framework of $\mathbb{A}\mathrm{b}$-enriched category theory. In particular, we prove that the category of $R$-$\mathrm{M}\mathrm{o}\mathrm{d}$-enriched categories, $Cat(R$-$\mathrm{M}\mathrm{o}\mathrm{d})$, the category of $\underset{‾}{R}$-modules inside $Cat(\mathbb{A}\mathrm{b})$, ${\mathrm{L}\mathrm{M}\mathrm{o}\mathrm{d}}_{\underset{‾}{R}}(Cat(\mathbb{A}\mathrm{b}))$, and the category of $Cat(\mathbb{A}\mathrm{b})$-enriched functors, $Fu{n}^{Cat(\mathbb{A}\mathrm{b})}(\underset{‾}{\underset{‾}{R}},Cat(\mathbb{A}\mathrm{b}))$ are equivalent.