We study effects of turbulent motion on the critical behaviour of a non- conserved scalar field using the formalism of the functional renormalization group (FRG). The turbulent advection is simulated by a random Gaussian velocity field with zero mean and correlation function {equation presented} behaviour of the scalar field close to criticality is described by the A model of critical dynamics. Within the local potential approximation to the Wetterich equation we have analysed possible scaling regimes the model reveals and computed corresponding critical ex- ponents. Our outcomes is capable of recovering the one-loop renormalization group functions of the coupling constants.