Erasmus Montanus, a seventeenth-century farce written by Ludwig Holberg, both predates and resembles Moliere’s Tartuffe and is therefore thought to be one of Moliere’s sources.
(A) both predates and resembles (incorrect: tenses error)
subject belongs to the 17th century thus it should be either past simple or present perfect. Past simple cannot be used as the second part is in present tense thence it should be present perfect.
(B) it both predates and resembles (incorrect: pronoun and tenses error)
Pronoun it cannot be used as Erasmus Montanus is a subject and it requires a same types of verbs to manage parallelism.
(C) both predated and resembles (incorrect: tenses and parallelism error)
Predated and resembles are not parallel moreover, they are incorrect tense)
(D) has both predated and resembled (the best option)
(E) because it both predated and resembled (incorrect: pronoun and tense error)
Same error as options A and B have.