In this communication we report on the results of the study of the holographic dual for the anomaly and gravity N = 1 multiplets in the baryonic branch generalization of the Klebanov-Strassler background. We present the equation for the transverse vector glueball in KS case. The spectrum of low lying excitations coincides with the spectrum of the traceless graviton. The anomalous longitudinal part of the the current is degenerate with the scalar glueball, that is a perturbation of the trace of the metric. The latter glueballs are lighter than the gravity multiplet everywhere on baryonic branch.