The word 'responsibly-managed' is a compound adjective formed from 'responsibly' (adverb form of 'responsible') and 'managed' (past participle of 'manage'). 'Responsibly' comes from 'responsible', which originates from Latin 'responsabilis', meaning 'answerable'. 'Manage' comes from Italian 'maneggiare', meaning 'to handle'.

'Responsibly-managed' is a modern English compound, combining 'responsibly' and 'managed' to describe something that is managed with responsibility.

Initially, the components meant 'to manage with responsibility', and the compound now specifically refers to management done with ethical or sustainable considerations.