  Teleparallel gravity offers a path to resolve a number of longstanding issues
in general relativity by re-interpreting gravitation as an artifact of torsion
rather than curvature. The present work deals with cosmological solutions in an
extension of teleparallel gravity. A reconstruction scheme of the theory has
been proposed based on the cosmological jerk parameter. The work contains
analysis of ensuing cosmological parameters for different viable models and the
stability of the models against cosmic time through an investigation of
perturbation of matter overdensity and the hubble parameter.
