  In this paper, we investigate a transitioning model of Bianchi type V
universe in Brans-Dicke theory of gravitation. The derived model not only
validates Mach's principle but also describes the present acceleration of the
universe. In this paper, our aim is to constrain an exact Bianchi type V
universe in Brans - Dicke gravity. For this sake, firstly we obtain an exact
solution of field equations in modified gravity and secondly constrain the
model parameters by bounding the model with recent $H(z)$ and Baryon acoustic
oscillations (BAO) observational data. The current phase of accelerated
expansion of the universe is also described by the contribution coming from
cosmological constant screened scalar field with deceleration parameter showing
a transition redshift of about $z_{t} = 0.79$. Some physical properties of the
universe are also discussed.
