признавать свою неправоту(Some politicians are so arrogant that they won't eat humble pie even when it's clear they've made a mistake. They just say they were "misinformed".englishclub.cominyazserg)
признать свою неправоту(to be forced to apologize abjectly or admit one's faults in humiliating circumstances: Some politicians are so arrogant that they won't eat humble pie even when it's clear they've made a mistake. They just say they were "misinformed".)
взять свои слова обратно(в контексте; to admit that one has been wrong and apologize: The Queen's Press secretary was forced to eat humble pie yesterday and publicly apologize to the duchess.4uzhoj)
с его её подачи(While the official statement attributed the discovery of the lost city to Professor Jones, whispers throughout the academic community suggested that her talented but enigmatic assistant, Maya, had a finger in the pieTaras)