  In this paper we study categories $(F,\mathbf{C},\mathbf{D})$ and
$(\mathbb{F},\mathbf{C},\mathbf{Set})$ and prove them to be fibred on
$\mathbf{C}$. Then we examine Grothendieck construction in the context of an
ordinary functor $F: \mathbf{C} \rightarrow \mathbf{D}$ through the concept of
trivial categorification, using an appropriate functor $\mathbf{F}: \mathbf{C}
\xrightarrow{F} \mathbf{D} \xrightarrow{I} \mathbf{Cat}$ to construct
$\int_{\mathbf{C}^{op}} \bar{\mathbf{F}}$. This category characterizes a
functor as an abstract right category action while its dual $\mathcal{X}
\rtimes_{\mathbf{F}} \mathbf{C}$ or $(\int_{\mathbf{C}^{op}}
\bar{\mathbf{F}})^{op}$ characterizes a functor as an abstract left category
action. Similarly using $\mathbb{F}: \mathbf{C} \xrightarrow{F} \mathbf{D}
\xrightarrow{U} \mathbf{Set}$ we define $\mathcal{X} \rtimes_{\mathbb{F}}
\mathbf{C}$ and ${\int_{\mathbf{C}^{op}} \bar{\mathbb{F}}}$ as categories
denoting concrete left and right actions of $\mathbf{C}$ respectively.
Collectively referred to as `base structured categories', these are proven
abstractly isomorphic to the base category $\mathbf{C}$ but concretely
isomorphic to each other or $(\mathbb{F},\mathbf{C},\mathbf{Set}) \cong
\int_{\mathbf{C}} \bar{\mathbb{F}} \cong \mathcal{X} \rtimes_{\mathbb{F}}
\mathbf{C}$. These are special instances of fibred categories where the base
category is $\mathbf{C}$ and fibres are $\mathbf{D}$ objects being treated as
trivial categories. The perspective of making only base structure explicit
through category theory concealing the vertical structure using identity
morphisms enables one to combine intuitions of Grothendieck's relative and
Leyton's generative theory. As explored further, it facilitates the application
of functors in certain fundamental applications which hitherto have been
treating objects of category $\mathbf{D}$ purely in a set theoretic way.
