Transverse momentum spectra and Nuclear modification factors for production of various secondaries in different central Pb+Pb collisions at = 2.76 TeV have been analysed in the light of two generalized distributions --- Tsallis-Boltzmann and q-Weibull formalism --- to extract insights on the final stage as well as the initial stage of the fireball to understand the evolution process. Besides, the dependence of different parameters, involved in both the approaches, on centralities and mass of the secondaries, have also been discussed, in detail.