  A surprising feature of our present four dimensional universe is that its
evolution appears to be governed solely by spacetime curvature without any
noticeable effect of spacetime torsion. In the present paper, we give a
possible explanation of this enigma through ``cosmological evolution'' of
spacetime torsion in the backdrop of a higher dimensional braneworld scenario.
Our results reveal that the torsion field may had a significant value at early
phase of our universe, but gradually decreased with the expansion of the
universe. This leads to a negligible footprint of torsion in our present
visible universe. We also show that at an early epoch, when the amplitude of
the torsion field was not suppressed, our universe underwent through an
inflationary stage having a graceful exit within a finite time. To link the
model with observational constraints, we also determine the spectral index for
curvature perturbation ($n_s$) and tensor to scalar ratio ($r$) in the present
context, which match with the results of $Planck$ 2018 (combining with BICEP-2
Keck-Array) data \cite{Planck}.
