  We investigate the Ihara zeta functions of finite Schreier graphs $\Gamma_n$
of the Basilica group. We show that $\Gamma_{1+n}$ is $2$ sheeted unramified
normal covering of $\Gamma_n, ~\forall~ n \geq 1$ with Galois group
$\displaystyle \frac{\mathbb{Z}}{2\mathbb{Z}}.$ In fact, for any $n > 1, r \geq
1$ the graph $\Gamma_{n+r}$ is $2^n$ sheeted unramified, non normal covering of
$\Gamma_r.$ In order to do this we give the definition of the $generalized$
$replacement$ $product$ of Schreier graphs. We also show the corresponding
results in zig zag product of Schreier graphs $\Gamma_n$ with a $4$ cycle.
