This paper considers robustness for linear evolution equations with non-instantaneous impulsive effects in Banach spaces. We present sufficient conditions to guarantee robustness of nonuniform exponential contractions and exponential dichotomies with both non-instantaneous linear impulsive actions of the associated equation and linear perturbations of the associated linear evolution equation. This paper establishes a new framework to investigate robustness for linear evolution equations with non-instantaneous impulsive conditions and also generalizes results from classical impulsive equations using several nontrivial techniques.