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The decays $B\to\bar{D}^{(*)} \omega\pi$ are very important for theinvestigation of $\rho$ excitations and the test of factorization hypothesisfor $B$ meson decays. The $B^{+}\to \bar{D}^{(*)0}\omega\pi^+$ and $B^{0}\toD^{(*)-}\omega\pi^+$ have been measured by different collaborations but withoutany predictions for their observables on theoretical side. In this work, westudy the contributions of $\rho(770,1450)\to \omega\pi$ for the cascade decays$B^{+}\to \bar{D}^{(*)0} \rho^+ \to \bar{D}^{(*)0}\omega\pi^+$, $B^{0}\toD^{(*)-} \rho^+ \to D^{(*)-}\omega\pi^+$ and $B_s^{0}\to D_s^{(*)-} \rho^+ \toD^{(*)-}\omega\pi^+$. We introduce $\rho(770,1450)\to \omega\pi$ subprocessesinto the distribution amplitudes for $\omega\pi$ system via the vector formfactor $F_{\omega\pi}(s)$ and then predict the branching fractions for thefirst time for concerned quasi-two-body decays with $\rho(770,1450)\to\omega\pi$, as well as the corresponding longitudinal polarization fractions$\Gamma_L/\Gamma$ for the cases with the vector $\bar{D}^{*0}$ or$D_{(s)}^{*-}$ in their final states. The branching fractions of thesequasi-two-body decays are predicted at the order of $10^{-3}$, which can bedetected at the LHCb and Belle-II experiments. The predictions for the decays${B}^0 \to{D}^{*-} \rho(770)^+\to {D}^{*-} \omega\pi^+$ and ${B}^0 \to {D}^{*-}\rho(1450)^+\to {D}^{*-} \omega\pi^+$ agree well with the measurements fromBelle Collaboration. In order to avoid the pollution from annihilation Feynmandiagrams, we recommend to take the $B_s^0 \to D_s^{*-}\rho(770,1450)^+$ decays,which have only emission diagrams at quark level, to test the factorizationhypothesis for $B$ decays.

The $\rho(770,1450)\to \omega\pi$ contributions for three-body decays $B\to\bar{D}^{(*)} \omega\pi$