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The president urged his employees to take a more proactive approach.
Literal
President [subject-が] employees [genitive-の] proactive engagement [object-を] urged [polite-past-した].
Corporate vocabulary. 促す ('to urge, prompt, encourage') is a formal verb used for official encouragement. 主体的 ('proactive, self-initiating,' literally 'main-body-ish') is a key business buzzword meaning taking initiative rather than waiting for orders. 取り組み ('approach, engagement, effort') is a nominalization of 取り組む ('to engage with, tackle'). Typical office-speak.