We examine the T-odd transverse lepton and Λ polarizations in the baryonic decays of Λ b → Λl + l − (l = e , µ) to study the T violating effects. We show that the lepton polarizations are suppressed but the Λ ones can be as large as 50% in CP violating theories beyond the standard model such as the SUSY models, which can be tested in various future hadron colliders.Recently, time-reversal violation (TV) has been measured experimentally in the K 0 system [1], and thus complements the information on CP violation (CPV) that has been steadily accumulating for the past thirty seven years. The data is in accordance with the CPT theorem which is fundamental to local quantum field theories with Lorentz invariance and the usual spin-statistics connection. However, the origin of the violation remains unclear. In the standard model, CPV or TV arises from a unique physical phase in the Cabibbo-Kobayashi-Maskawa (CKM) quark mixing matrix [2]. This paradigm also predicts CPV effect in the b-quark system. To test the accuracy of this paradigm and to search for other sources of CPV one needs to look for new processes. Indeed this is an important quest of the B-factories. In addition we deem it particularly interesting if the time reversal symmetry violation can be directly detected in the b-system rather than inferring it as a consequence of CPT invariance. In this talk, we will present our recent studies on T violation in the baryonic decays of Λ b → Λl + l − (l = e, µ) [3,4,5,6].It is known that for a general three-body decay * Talk presented by C.Q. Geng at the 5th International Conference on Hyperons, Charm and Beauty Hadrons of a baryon the triple spin-momentum correlations, such as s k ·( p i × p j ), are T-odd observables, where s k and p i,j are the spin and momentum vectors of the final particles, respectively. There are a number of different sources that might give rise to these T-odd observables. The most important ones being the weak CPV such as the CKM phase of the SM. However, final state interactions such as QCD for non-leptonic decays or the electromagnetic (EM) interaction among the final state particles can also make contributions. These are usually less interesting and they could even hide the signals from the weak CPV. We note that the T-odd triple correlations do not need nonzero strong phases unlike some of CP violating observables, such as the rate asymmetry between a particle and its antiparticle. In Λ b → Λl + l − decays, we can use either the polarization of the lepton (s l ) or the Λ baryon (s Λ ) to study the Todd correlations. It is interesting to note that the decays can be used to analyze the helicity structure of the interaction, which is impossible in the B meson system.We start with the effective Hamiltonian for b → sl + l − by including the right-handed couplings in