In this article, the generalized simplicial polytopic numbers P$_{n}^{d}(s,t)$, defined on generalized Fibonacci polynomials with parameters $s,t$, are introduced. Moreover, we obtain beautiful generating functions of the numbers P$_{n}^{d}(s,t)$, which are related to the $(s,t)$-derivatives of the Partial Theta function $Θ_{0}(x,q)$.