In the present work, we have considered a sinusoidal modulated periodic piezoelectric semiconductor plasma as an alternative to the more often used Kronig-Penney model for investigating layered media. Further, we have investigated a three wave parametric interaction of a dipole electromagnetic pump wave, an extraordinary wave and coupled upper hybrid-acoustic and derived an expression for the threshold electric field necessary for the onset of the instability. Our results are presented graphically and a comparison is made with the case when the sinusoidal modulation is absent.