  In this paper, we present an accelerating cosmological model by constraining
the free parameters using the cosmological datasets in an extended symmetric
teleparallel gravity for the flat and anisotropic space-time. We employ a time
variable deceleration parameter that behaves early deceleration and late time
acceleration in the form of Hybrid Scale Factor (HSF). We obtain the present
values of deceleration parameter and analyse the late time behavior of the
Universe based on the best-fit values of free parameters. We derive the
dynamical parameters of the model and obtain the equation of state parameter at
present in the quintessence region; however at late time it approaches to
$\Lambda$CDM. The energy conditions are also analysed to validate the modified
gravity and we find that strong energy condition is violating. We establish the
importance of hybrid scale factor in the late time cosmic phenomena issue.
