Has spacetime torsion already been detected in Lorentz and CPT tests with spin-polarised bodies?

Bluhm-Kostelecky (BK) Lagrangian to test Lorentz violation with spin-polarised test bodies is shown to be transformed to a torsion-coupling constant Lagrangian by taking into account the Fock-Ivanenko coefficients in spinor form. In this way one is able to introduce torsion in their Lagrangian and make use of the value of their coupling constant to infer that torsion maybe observed in this type of spin-polarised body experiment.The theory would be a low-energy limit of a quasi-Riemannian gravity in Riemann-Cartan spacetime previously proposed by Gasperini.In this theory of gravity Lorentz local gauge symmetry is violated while global coordinate transformations are preserved.Torsion coupling obtained in this way could be as high as $10^{-29} GeV$.