The low energy effective theory (∼ TeV) of the little-Higgs model with SU (6)/Sp(6), as proposed by Low, Schiba and Smith (LSS), exhibits a two-Higgs doublet model (2HDM) structure. The symmetry dictates interesting Yukawa patterns, translating to non-trivial fermion couplings with both of the Higgs doublets. The couplings of the scalars with the fermions can induce flavor changing neutral currents, which get constraints from flavor physics observables such as BR(B → X s γ), B s − B s mixing etc. The precision measurement of Zbb vertex, the top and Higgs mass along with other Higgs coupling measurements at the Large Hadron Collider (LHC) also put severe restrictions on the LSS model. Direct LHC search results of beyond the Standard Model (BSM) particles also impose bounds on the masses. We probe the LSS model in view of the above constraints through a random scan in the multi-dimensional parameter space. We observe, on contrary to the general 2HDM scenario, the emergent 2HDM from the LSS model is less constrained from the flavor data and the Zbb measurement but is severely constrained form the electroweak (EW) searches at the LHC. From the flavor data and Zbb, we find that the charged Higgs mass is relaxed with tan β being restricted to 0.5 − 5, whereas the charged Higgs mass is pushed to larger than 1 TeV along with tan β being further restricted to < 3 when the LHC bounds are incorporated.