認められて

be recognized, be approved

→ 認める
認め recognize, acknowledge, admit + られ Passive/potential + Te-form (conjunctive)
verb · potential Rare #38,326
be recognized, be approved Passive te-form of 認める; often used to connect to another clause.
JA: 彼の努力が認められて、昇進した。
EN: His efforts were recognized, and he was promoted.
Conjugation of 認める
Potential
認められて認められない

ずっと昔からこの原則認められてきた

This principle has long been recognized.

その理論は一般に認められていない

That theory is not generally accepted.

彼はちゃんと世間に認められていますよ

He is duly recognized by society.

その理論はまだ一般に認められていない

That theory has not yet been generally accepted.