A minimally extended version of the Standard Model, where baryon number is promoted to a gauged \(U(1)_B\) symmetry, can be made anomaly-free by adding a set of vector-like fermions. Such a scenario can evade the spin-dependent direct detection bounds on vector-like fermions. Additionally, the lightest component of the exotic fermion sector behaves as a viable dark matter candidate. We show that the spontaneous breaking of \(U(1)_B\) symmetry can produce gravi- tational waves via bubble dynamics resulting from a first-order phase transition, which can be detected in future gravitational wave experiments like LISA and DECIGO. Such gravitational wave signatures can be used as a probe to constrain the model in future observations. We show that the dark matter relic density can have a one-to-one correspondence with the frequency of the gravitational waves.