  Stimulated by recent progress made by the LHCb Collaboration in discoveries
of new bottom baryons, e.g., the $\Xi _{b}(6227)^{-}$ and the
$\Sigma_{b}(6097)^{\pm}$, we re-examine the orbitally excited spectrum of the
charmed and bottom baryons using Regge approach in the heavy quark-diquark
picture. The results indicate that the spin-averaged mass spectrum of the
orbitally-excited charmed and bottom baryons can be described by a linear Regge
relation, which is derived from the rotating QCD string model. By giving
further mass-splitting analysis of spin-dependent interactions, we explain the
baryons $\Xi_{b}(6227)^{-}$ and the $\Sigma_{b}(6097)^{\pm}$,and the $\Sigma
_{c}(2800)$ and $\Xi _{c}^{\prime }(2930)$ to be the $1P$%-wave baryons, all
with the spin-parity $J^{P}=3/2^{-}$ preferably. Mass prediction of the bottom
baryon $\Xi_{b}$ in its P- and D-waves are presented, providing clues for the
coming experiments like the LHCb to find them.
