  From the perspective that the $\Lambda_c(2595)$ and $\Lambda_c(2625)$ are
dynamically generated resonances from the $DN,~D^*N$ interaction and coupled
channels, we have evaluated the rates for $\Lambda_b \to \pi^- \Lambda_c(2595)$
and $\Lambda_b \to \pi^- \Lambda_c(2625)$ up to a global unknown factor that
allows us to calculate the ratio of rates and compare with experiment, where
good agreement is found. Similarly, we can also make predictions for the ratio
of rates of the, yet unknown, decays of $\Lambda_b \to D_s^- \Lambda_c(2595)$
and $\Lambda_b \to D_s^- \Lambda_c(2625)$ and make estimates for their
individual branching fractions.
