  We study the predictions of anomalous inflationary models on the abundance of
structures in large scale structure observations. The anomalous features
encoded in primordial curvature perturbation power spectrum are (a): localized
feature in momentum space, (b): hemispherical asymmetry and (c): statistical
anisotropies. We present a model-independent expression relating the number
density of structures to the changes in the matter density variance. Models
with localized feature can alleviate the tension between observations and
numerical simulations of cold dark matter structures on galactic scales as a
possible solution to the missing satellite problem. In models with
hemispherical asymmetry we show that the abundance of structures becomes
asymmetric depending on the direction of observation to sky. In addition, we
study the effects of scale-dependent dipole amplitude on the abundance of
structures and, using the quasars data, we find the upper bound $n_A<0.6$ for
the spectral index of the dipole asymmetry. In all cases there is a critical
mass scale $M_c$ in which for $M<M_c (M> M_c)$ the enhancement in variance
induced from anomalous feature decreases (increases) the abundance of dark
matter structures in Universe.
