The daughters recovered from the shock of their father's death.
Literal
Daughters [topic-は] father [possessive-の] death [possessive-の] shock [from-から] energy [object-を] got-back.
元気を取り戻す ('get one's energy back') is a common collocation for recovering from illness, grief, or setbacks. 取り戻す is a compound (取る + 戻す) meaning 'to retake, to reclaim.' から marks the starting point of the recovery — 'from the shock.'