  We present results on the two-loop anomalous dimensions of the heavy baryon
HQET currents $J=(q^TC\Gamma\tau q)\Gamma'Q$ with arbitrary Dirac matrices
$\Gamma$ and $\Gamma'$. From our general result we obtain the two-loop
anomalous dimensions for currents with quantum numbers of the ground state
heavy baryons $\Lambda_Q$, $\Sigma_Q$ and $\Sigma_Q^*$. As a by-product of our
calculation and as an additional check we rederive the known two-loop anomalous
dimensions of mesonic scalar, pseudoscalar, vector, axial vector and tensor
currents $(J=\bar q\Gamma q)$ in massless QCD as well as in HQET.
