Inspired by recent anomalies associated with the b hadron decays, a theoretical investigation on B∗d(s)→D+d(D+s)τ−ˉvτ decays has been performed in W′ model and scalar leptoquark model. To implicate these models, new coupling parameters are fixed by χ2 fitting using recent experimental results from b→cτˉvτ transition as constraints. We have estimated branching fraction, lepton flavor universality (LFU) parameter, forward–backward asymmetry and lepton-spin asymmetry in the standard model (SM) as well as above two new physics (NP) models. Except lepton-spin asymmetry, significant deviations from the SM predictions are observed in W′ model for both channels. In comparison to other observables, lepton-spin asymmetry shifts slightly from the SM in scalar leptoquark model. Our results may be helpful to the experimental communities to explore these decays and W′ boson and leptoquark at the colliders.