  We analytically compute correlation and response functions of scalar
operators for the systems with Galilean and corresponding aging symmetries for
general spatial dimensions $d$ and dynamical exponent $z$, along with their
logarithmic and logarithmic squared extensions, using the gauge/gravity
duality. These non-conformal extensions of the aging geometry are marked by two
dimensionful parameters, eigenvalue $\mathcal M$ of an internal coordinate and
aging parameter $\alpha$.
  We further perform systematic investigations on two-time response functions
for general $d$ and $z$, and identify the growth exponent as a function of the
scaling dimensions $\Delta$ of the dual field theory operators and aging
parameter $\alpha$ in our theory. The initial growth exponent is only
controlled by $\Delta$, while its late time behavior by $\alpha$ as well as
$\Delta$. These behaviors are separated by a time scale order of the waiting
time. We attempt to make contact our results with some field theoretical growth
models, such as Kim-Kosterlitz model at higher number of spatial dimensions
$d$.
