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Abstract The top–down type IIB holographic dual of large-N thermal QCD as constructed in Mia et al. (Nucl Phys B 839:187, 2010) involving a fluxed resolved warped deformed conifold, its delocalized type IIA Strominger–Yau–Zaslow-mirror (SYZ-mirror) as well as its M-theory uplift constructed in Dhuria and Misra (JHEP 1311:001, 2013) – both in the finite coupling ( $$g_s\mathop {\sim }\limits ^{<}1$$ g s ∼ < 1 )/‘MQGP’ limit of Dhuria and Misra (JHEP 1311:001, 2013) – were shown explicitly to possess a local $$SU(3)/G_2$$ S U ( 3 ) / G 2 -structure in Sil and Misra (Nucl Phys B 910:754, 2016). Glueballs spectra in the finite-gauge-coupling limit (and not just large ’t Hooft coupling limit) – a limit expected to be directly relevant to strongly coupled systems at finite temperature such as QGP (Natsuume in String theory and quark–gluon plasma, 2007) – has thus far been missing in the literature. In this paper, we fill this gap by calculating the masses of the $$0^{++}, 0^{-+},0^{{-}{-}}, 1^{++}, 2^{++}$$ 0 + + , 0 - + , 0 - - , 1 + + , 2 + + (‘glueball’) states (which correspond to fluctuations in the dilaton or complexified two-forms or appropriate metric components) in the aforementioned backgrounds of G-structure in the ‘MQGP’ limit of Dhuria and Misra (JHEP 1311:001, 2013). We use WKB quantization conditions on one hand and impose Neumann/Dirichlet boundary conditions at an IR cut-off (‘ $$r_0$$ r 0 ’)/horizon radius (‘ $$r_h$$ r h ’) on the solutions to the equations of motion on the other hand. We find that the former technique produces results closer to the lattice results. We also discuss the $$r_h=0$$ r h = 0 limits of all calculations. In this context we also calculate the $$0^{++}, 0^{{-}{-}},1^{++}, 2^{++}$$ 0 + + , 0 - - , 1 + + , 2 + + glueball masses up to Next to Leading Order (NLO) in N and find a $$\frac{g_sM^2}{N}(g_sN_f)$$ g s M 2 N ( g s N f ) -suppression similar to and further validating semi-universality of NLO corrections to transport coefficients, observed in Sil and Misra (Eur Phys J C 76(11):618, 2016).