  In this paper we study the spectra of glueballs on the Klebanov-Strassler
background and its extension to the baryonic branch. We numerically calculate
the mass spectrum of glueballs from the spin 2 ``gravity'' multiplet, which
contains the traceless part of the stress-energy tensor and the transverse part
of the U(1) R-current. The mass spectra of the corresponding fluctuations in
supergravity coincide due to supersymmetry, which is manifest in the effective
five-dimensional theory through a Supersymmetric Quantum Mechanics
transformation. We show that the glueball spectra grow as m^2 ~ Un^2 for large
values of the baryonic branch parameter U.
