McShane established a remarkable identity for the lengths of simple closed geodesics on the hyperbolic surface with cusps. Mirzakhani extended McShane identity to obtain a beautiful recursive formula for the volumes of the moduli spaces of the Riemann surfaces, which again proved the Witten-Kontsevich theorem. On the other hand, Goncharov and Shen formulated an explicit homological mirror symmetry on two variations of moduli spaces of G-local systems using the so-called Goncharov--Shen potential. Using these Goncharov--Shen potentials, joint with Yi Huang, we found a collection of new McShane-type identities parameterized by the pairs (cusp/hole, simple positive root), which are the analogs of McShane/Mirzakhani identities with new parameters in the case of higher rank Lie groups. We also showed Fuchsian rigidity and boundedness of the new parameters.