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We study the rates and direct CP violations of two-body baryonic $\barB_{u,d,s}\to {{\rm\bf B}\overline{\rm\bf B}}'$ and $B^-_c\to{{\rm\bfB}\overline{\rm\bf B}}'$ decays, where the final state baryons includelow-lying octet and decuplet baryons. We incorporate topological amplitudeformalism and the factorization approach. Asymptotic relations at large $m_b$are used to simplify decay amplitudes. Using the most up-to-date data on $\barB^0\to p\bar p$ and $B^-\to\Lambda\bar p$ decay rates as inputs, rates anddirect CP violations of $\bar B_{u,d,s}\to {{\rm\bf B}\overline{\rm\bf B}}'$decays are revised and predicted. It is interesting that the results on ratessatisfy all existing experimental bounds and some are close to the bounds.Factorization diagrams contribute to penguin-exchange, exchange, annihilationand penguin-annihilation amplitudes. Although the resulting penguin-exchangefactorization amplitudes are sizable, the rest suffer from severe chiralsuppression and are sensitive to non-factorizable contributions. The $\barB_s\to p\bar p$ decay rate predicted in factorization calculation is very rare,but it can be enhanced by including non-factorizable contributions. The casewhere the rate is enhanced to saturate the present experimental bound isdiscussed. As annihilation modes $B^-_c\to{{\rm\bf B}\overline{\rm\bf B}}'$decays from factorization calculation are found to be very rare, but they canbe enhanced by including non-factorizable contributions as well. Small directCP violations of pure penguin modes in $\Delta S=-1$ $\bar B_{u,d,s}\to{{\rm\bfB}\overline{\rm\bf B}}'$ decays are robust predictions of the SM, whilevanishing direct CP violations of exchange modes in $\bar B_{u,d,s}\to{{\rm\bfB}\overline{\rm\bf B}}'$ decays and in all $B^-_c\to{{\rm\bf B}\overline{\rm\bfB}}'$ decay modes are null tests of the SM.

Two-body Baryonic $B_{u,d,s}$ and $B_c$ to Charmless Final State Decays