Sentence improvement — parallel auxiliary structure: 'has not been and can never be in the good books' (supply past participle after 'has').

Given sentence
He has not and can never be in the good books of his employer because he lacks honesty.

Concept/Approach
After the auxiliary 'has', a past participle must follow ('has been'). Maintain parallelism across the coordinated verb phrases: 'has not been and can never be …'

Corrected span
has not been and can never be

Why other options fail
'has not and cannot be' → missing participle after 'has'.'has not and can never been' → wrong placement of 'been'.'No improvement' → leaves a grammar error.

Final Answer
has not been and can never be