'efficiently-managed' originates from the combination of 'efficiently' and 'managed'. 'Efficiently' comes from Latin 'efficientem', meaning 'accomplishing', and 'managed' comes from Italian 'maneggiare', meaning 'to handle'.

'Efficiently-managed' evolved from the combination of 'efficient' and 'manage', which were used separately in Middle English and later combined in modern English.

Initially, 'efficiently' meant 'accomplishing with skill', and 'manage' meant 'to handle'. Over time, they combined to describe a state of being well-organized and productive.