While polarized sunglasses are extremely popular for their anti-glare

Note:
The question uses placeholder "it" - "make it impossible to do something". <-- Do NOT find antecedent of "it".

While polarized sunglasses are extremely popular for their anti-glare feature, pilots should avoid using these because their coating will make it almost impossible to read the digital instruments inside the aircraft.

(A) pilots should avoid using these because their coating will make it almost impossible to read the digital instruments inside the aircraft
Wrong. "these" is wrong. The correct pronoun is "them".

(B) their use should be avoided by pilots because their coating make it almost impossible to read the digital instruments inside the aircraft
Wrong. Pilots should avoid using the sunglasses, not avoid using sunglasses' use.

(C) pilots should avoid using it because the coating on these glasses makes it almost impossible to read the digital instruments inside the aircraft
Wrong. sunglasses is plural --> "it" is wrong.

(D) they should not be used by pilots because of the coating on these glasses making it almost impossible reading the digital instruments inside the aircraft
Wrong. Grammar problem. "make it impossible TO do something." is correct. "make it impossible doing something" is wrong.

(E) they should not be used by pilots because the coating on these glasses makes it almost impossible to read the digital instruments inside the aircraft
Correct.

Hope it helps.