adverb taking the 'to' particle, adverb
shamelessly; brazenly; without shame
Describes doing something disgraceful without showing embarrassment or remorse. Often used with verbs like 帰る, 戻る, 現れる when someone should feel ashamed but doesn't.
彼は失敗してもおめおめと会社に戻ってきた。
He brazenly came back to the company even after his failure.
あんなことをして
After doing something like that, how can you show your face so shamelessly?
adverb taking the 'to' particle, adverb
resignedly; accepting disgrace
Used when someone accepts a humiliating situation with resignation rather than defiance. The shamelessness is more passive, as if they have given up caring about the shame.
彼はクビになったのに、おめおめとその会社の前をうろついている。
Even though he was fired, he hangs around in front of that company as if resigned to his disgrace.
Mimetic word; the exact origin is uncertain, but it likely imitates a state of being unperturbed or shameless.