The current tension in H₀ measurements by Planck-2015 for ΛCDM and that by recent direct measurement by Riess et al. 2016, also results another tension in the value of r_d, the sound horizon at drag epoch, measured by BAO observations and Planck-2015. We show that, regardless of dark energy dynamics, to accommodate higher value of H₀, one needs a lower value of r_d, and so necessarily a modification of early universe cosmology. Later on, a model independent approach to constraint background evolution of the universe with low-redshift data, will be discussed.