  A nonlinear Schr\"{o}dinger equation is derived to investigate the
modulational instability (MI) of ion-acoustic (IA) waves (IAWs) in a double
pair plasma system containing adiabatic positive and negative ion fluids along
with super-thermal electrons and positrons. The analytical analysis predicts
two types of modes, viz. fast ($\omega_f$) and slow ($\omega_s$) IA modes. The
possible stable and unstable parametric regions for the IAWs in presence of
external perturbation can be observed for both $\omega_f$ and $\omega_s$. The
number density of the negative ions and positrons play a vital role in
generating the IA rogue waves (IARWs) in the modulationally unstable region.
The applications of our present work in astrophysical environments [viz.
D-region ($\rm H^+, O_2^-$) and F-region ($\rm H^+, H^-$) of the Earth's
ionosphere] as well as in laboratory plasmas [viz. pair-ion Fullerene ($\rm
C^+, C^-$)] are pinpointed.
