'erratically-managed' originates from modern English, formed by combining the adverb 'erratic(ally)' and the past participle 'managed' (from 'manage').

'erratic' derives from Latin 'erraticus' (from 'errare', 'to wander') and entered English via French/Latin medieval forms; 'manage' comes from Italian 'maneggiare' (from Latin 'manus', 'hand') through Old French and Middle English. The compound phrase is a modern English formation joining adverb + past participle to describe a state of management.

Individually, 'erratic' originally meant 'wandering' and 'manage' meant 'to handle' or 'control'; combined in modern usage they evolved to mean 'handled in a wandering/unpredictable way,' i.e., managed inconsistently or poorly.