  This paper concerns the study of Bi-colored expansions of geometric theories
in the light of the Fra\"{i}ss\'{e}-Hrushovski construction method.
Substructures of models of a geometric theory $T$ are expanded by a color
predicate $p$, and the dimension function associated with the pre-geometry of
the $T$-algebraic closure operator together with a real number
$0<\alpha\leqslant 1$ is used to define a pre-dimension function
$\delta_{\alpha}$. The pair $(\mathcal{K}_{\alpha}^{+},\leqslant_{\alpha})$
consisting of all such expansions with a hereditary positive pre-dimension
along with the notion of substructure $\leqslant_{\alpha}$ associated to
$\delta_{\alpha}$ is then used as a natural setting for the study of generic
bi-colored expansions in the style of Fra\"{i}ss\'{e}-Hrushovski construction.
Imposing certain natural conditions on $T$, enables us to introduce a complete
axiomatization $\mathbb{T}_{\alpha}$ for the class of rich structures in this
class. We will show that if $T$ is a dependent theory (NIP) then so is
$\mathbb{T}_{\alpha}$. We further prove that whenever $\alpha$ is rational the
strong dependence transfers to $\mathbb{T}_{\alpha}$. We conclude by showing
that if $T$ defines a linear order and $\alpha$ is irrational then
$\mathbb{T}_{\alpha}$ is not strongly dependent.
