Observational constraints on anisotropic cosmological model in Lyra's manifold

In the present study, we have explored an axially symmetric Bianchi I universe with Lyra's geometry. We assumed variable displacement vector as component of Lyra's geometry in the Einstein's field equations. We developed and presented exact solutions of the field equations of proposed model. The parameters of model have been extracted using latest observational finding of OHD, Pantheon and BAO data sets. The best fit values are estimated using MCMC method. Features like deceleration parameter, particle horizon, age of universe and jerk parameter are explored. Further Om and statefinder diagnosis of the assumed model are also discussed for geometrical comparison with the standard ACDM model.