'vaccination-promoting' is a modern English compound formed from the noun 'vaccination' and the present-participle 'promoting' (the verb 'promote' + -ing). 'Vaccination' ultimately derives from Latin via the coinage related to 'vacca' (cow), and 'promote' comes from Latin 'promovere' (pro- + movere).

'vaccination' was coined in modern English in the late 18th century from the New Latin 'vaccinatio' (from Latin 'vaccinus' 'of cows', from 'vacca' 'cow') in the context of cowpox inoculation introduced by Jenner; 'promote' comes from Latin 'promovere' -> Old French 'promouvoir' -> Middle English forms and became 'promote' in Modern English; joining them as a descriptive compound (vaccination-promoting) is a recent, productive modern-English formation.

Initially 'vaccination' referred specifically to inoculation using cowpox (linked to 'cow'), but its meaning broadened to mean immunization by vaccine in general; 'promote' originally meant 'to move forward' and evolved to mean 'to support, encourage, or advance', and together the compound now means 'encouraging or designed to increase vaccination'.