。
She loves playing with children.
Literal
She [topic-は] children [with-と] play [thing-of-のが] very like.
A textbook ~のが好き construction: the activity (子どもたちと遊ぶ, 'play with children') is nominalized with の and made the subject of 好き — 'as for she, the playing-with-children is very liked.' 好き is a na-adjective predicate that takes が for what's liked, not を, since liking is a stative predicate of internal disposition. 非常に ('very, extremely') is more formal than the everyday とても. The plural marker ~たち on 子ども marks 'children' as plural collectively — useful but optional in many contexts; here it specifies multiple children.