と認めた

admitted that …; acknowledged that …, recognized [someone] as; acknowledged [someone] to be

→ と
phrase Uncommon #9,577
admitted that …; acknowledged that … Used when someone accepts or confesses a fact, mistake, or other claim as true. The と introduces what they admitted.
JA: トムは自分のやったことが間違っていたと認めた。
EN: Tom admitted that what he had done was wrong.

トムは自分のやったことが間違っていたと認めた。

Tom admitted that what he had done was wrong.

それに知らないことは知らないと認めたって恥とは思わない。

Besides, I don't think there's any shame in admitting that you don't know something.

マスコミや報道陣に、"インドのスパイだと認めた"と言えばいい

You should tell the media and reporters, “I admit I’m an Indian spy.”

— バジュランギおじさんと、小さな迷子 (2015)

彼は自分が間違っていると認めた。

He admitted that he was wrong.

彼は賄賂を受け取っていたと認めた。

He admitted that he had accepted bribes.

彼女は、フランス語は話せないと認めた。

She admitted that she couldn't speak French.

彼の言ったことが本当だと認めたのですか。

Did you admit that what he said was true?

トムはその秘密を知っていると認めた。

Tom admitted that he knew the secret.

phrase Rare #35,033
recognized [someone] as; acknowledged [someone] to be Used when someone judges or accepts a person’s status, role, or evaluation. と marks what they are recognized as.
JA: みんなが私をリーダーと認めた。
EN: Everyone recognized me as the leader.

学生全員が彼女を自分達の代表と認めた。

All the students recognized her as their representative.

みんなが私をリーダーと認めた。

Everyone acknowledged me as their leader.

彼女は彼を殺人犯だと認めた。

She acknowledged that he was a murderer.

審判は彼を勝者と認めた。

The referee declared him the winner.

彼は息子を正式の相続人と認めた。

He recognized his son as his legitimate heir.