  We study cosmological constraints on the various accelerating models of the
universe using the time evolution of the cosmological redshift of distant
sources. The important characteristic of this test is that it directly probes
the expansion history of the universe. In this work we analyze the various
models of the universe which can explain the late time acceleration, within the
framework of General Theory of Relativity (GR) (XCDM, scalar field potentials)
and beyond GR (f(R) gravity model).
