推进文化体制机制创新的英文：
to promote innovation in cultural institutions and mechanisms

promote是什么意思：
v. 提升；促进；发起；宣传

And the show will help promote it.
而这次展览会有利于促销它。

He is to promote by a presidential order.
他即将按主管策令升职。

He was promoted to manager.
他被提升为经理。

innovation是什么意思：
n. 革新，改革；新方法；新制度

innovative team
创新性团队

innovative progress
开拓进展

Anesthesia was a great innovation in medicine.
麻醉是医学上重大的创新。

cultural是什么意思：
adj. 文化的；教养的

This culture may interfuse with other foreign cultures.
这种文化可能与其他外来文化相吻合。

Advancing culture is bound to triumph over declining culture.
先进的文化必然战胜没落的文化。

They are the people from diverse cultures.
他们是些有着不同文化背景的人。