The structure of the given compounds as well as their conjugate bases are given below:
Conjugate base of compound C
Least acidic

Conjugate base of compound D
Most acidic

Conjugate base of compound E
Intermediate acidic
The increasing order of acidity of the above compounds is as follows:
Compound D < Compound E < Compound C
Compound C is the most acidic, followed by compound E. The compound D is the least acidic.
In case of compound C, the nitro group, as well as the carbonyl group are directly bonded to the benzene ring. As a result, the resulting conjugate base is stabilized by both the inductive as well as the resonance effect. Following are the resonating structures for compound C.

Resonating structures
In case of compound E, the carbonyl group is not directly bonded to the benzene ring. Therefore, the resonance effect cannot take place. Only the inductive effect of the nitro group helps to stabilize the conjugate base of compound E.
For compound D, the carbonyl carbon is not directly bonded to the benzene ring. Therefore, the resonance effect cannot take place. As a result, the conjugate base of compound D is least acidic.