認められない

cannot accept, cannot acknowledge, not recognized, not accepted

→ 認める
認め recognize, acknowledge, admit + られ potential (can/cannot) + ない negative
verb · potential Rare #40,816
cannot accept, cannot acknowledge
JA: 私は彼の言い訳を認められない。
EN: I can't accept his excuse.
not recognized, not accepted
JA: 彼の功績はまだ認められない。
EN: His achievements are not yet recognized.
Conjugation of 認める
Potential
認められて認められない

私は君が彼と外出するのは認められない

I can't allow you to go out with him.

この規則には例外認められない

No exceptions to this rule are permitted.

君が彼と付き合うのは認められない

I can’t accept you dating him.

そういう事情なのでその要請認められない

Given those circumstances, that request cannot be granted.