。
She was asked to explain her behavior.
Literal
She [topic-は] her own behavior's explanation [object-を] do [so that-ように] was-requested.
~ように求める ('to request that X be done') is the indirect-request pattern: ~ように attaches to a verb in dictionary form to mark the content of the request, and 求める ('to seek, demand') closes it. Here in the passive 求められた ('was asked / was demanded'), the speaker is positioned as the recipient of the request. 説明をする ('to give an explanation') is the verb-form alternative to 説明する; the noun + を + する split adds slight rhetorical weight or formality.