  Deconfined QCD matter in heavy-ion collisions has been a topic of paramount
interest for many years. Quarkonia suppression in heavy-ion collisions at the
Relativistic Heavy Ion Collider (RHIC) and Large Hadron Collider (LHC)
experiments indicate the quark-gluon plasma (QGP) formation in such collisions.
Recent experiments at LHC has given some indications of hot matter effect in
asymmetric p$-$Pb nuclear collisions. Here, we employ a theoretical model to
investigate the bottomonium suppression in Pb$-$Pb at $\sqrt{s_{NN}}=2.76$,
$5.02$ TeV, and in p$-$Pb at $\sqrt{s_{NN}}=5.02$ TeV center-of-mass energies
under a QGP formation scenario. Our present formulation is based on a unified
model consisting of suppression due to color screening, gluonic dissociation
along with the collisional damping. Regeneration due to correlated $Q\bar Q$
pairs has also been taken into account in the current work. We obtain here the
net bottomonium suppression in terms of survival probability under the combined
effect of suppression plus regeneration in the deconfined QGP medium. We mainly
concentrate here on the centrality, $N_\text{part}$ and transverse momentum,
$(p_{t})$ dependence of $\Upsilon(1S)$ and $ \Upsilon(2S)$ states suppression
in Pb$-$Pb and p$-$Pb collisions at mid-rapidity. We compare our model
predictions for $\Upsilon(1S)$ and $\Upsilon(2S)$ suppression to the
corresponding experimental data obtained at the LHC. We find that the
experimental observations on $p_t$ and $N_\text{part}$ dependent suppression
agree reasonably well with our model predictions.
