In this paper, at first we characterize f-cosymplectic manifolds admitting conformal vector fields. Next, we establish that if a 3-dimensional f-cosymplectic manifold admits a homothetic vector field V, then either the manifold is of constant sectional curvature −f or, V is an infinitesimal contact transformation. Furthermore, we also investigate Ricci-Yamabe solitons with conformal vector fields on f-cosymplectic manifolds. At last, two examples are constructed to validate our outcomes.