  The drag and diffusion coefficients of heavy baryons ($\Lambda_c$ and
$\Lambda_b$) in the hadronic phase created in the latter stage of the heavy-ion
collisions at RHIC and LHC energies have been evaluated recently. In this work
we compute some experimental observables, such as the nuclear suppression
factor $R_{AA}$ and the elliptic flow $v_2$ of heavy baryons at RHIC and LHC
energies, highlighting the role of the hadronic phase contribution to these
observables, which are going to be measured at Run 3 of LHC. For the time
evolution of the heavy quarks in the QGP and heavy baryons in the hadronic
phase we use the Langevin dynamics. For the hadronization of the heavy quarks
to heavy baryons we employ Peterson fragmentation functions. We observe a
strong suppression of both the $\Lambda_c$ and $\Lambda_b$. We find that the
hadronic medium has a sizable impact on the heavy-baryon elliptic flow whereas
the impact of hadronic medium rescattering is almost unnoticeable on the
nuclear suppression factor. We evaluate the $\Lambda_c/D$ ratio at RHIC and
LHC. We find that $\Lambda_c/D$ ratio remain unaffected due to the hadronic
phase rescattering which enable it as a nobel probe of QGP phase dynamics along
with its hadronization.
