  We explore Noether gauge symmetries of FRW and Bianchi I universe models for
perfect fluid in scalar-tensor gravity with extra term $R^{-1}$ as curvature
correction. Noether symmetry approach can be used to fix the form of coupling
function $\omega(\phi)$ and the field potential $V(\phi)$. It is shown that for
both models, the Noether symmetries, the gauge function as well as the
conserved quantity, i.e., the integral of motion exist for the respective point
like Lagrangians. We determine the form of coupling function as well as the
field potential in each case. Finally, we investigate solutions through scaling
or dilatational symmetries for Bianchi I universe model without curvature
correction and discuss its cosmological implications.
