'administration-supporting' is a Modern English compound formed from the noun 'administration' + the present participle 'supporting' (from the verb 'support'). 'administration' itself comes into English from Latin via French and Medieval Latin, and 'support' comes from Old French and Latin roots.

'administration' derives from Latin 'administratio' (via Old French/Medieval Latin) and entered English as 'administration'; 'support' comes from Old French 'supo(u)rt' and Latin 'supportare' ('sub-' + 'portare' meaning 'to carry under'). The compound 'administration-supporting' is a transparent Modern English formation combining these elements to describe someone or something that provides support to an administration.

Initially, the components referred separately to 'management/government' ('administration') and 'carrying/holding up' or 'helping' ('support'); over time, combined forms like 'administration-supporting' have come to mean 'favoring or backing the administration' in political or organizational contexts.