suck up
to try to win the approval and good opinion of someone in authority 赢得权威人士的认可和好评
- She’s always sucking up to the boss, telling him how wonderful he is.
她总是拍老板的马屁，说他有多棒。
get on someone's good side
Win someone's approval or support 赢得某人的认可或支持
- I'm hoping to get on John's good side with this cake I baked for him.
我给约翰烤的这个蛋糕，希望能讨他的欢心。
court favor
try to get someone's approval. 试着得到别人的认可。
- The company is courting favor with consumers by portraying itself as socially responsible.
这家公司把自己塑造成一个有社会责任感的公司，从而赢得了消费者的青睐。
补充说明：
suck up 相对比较口语
get on someone's good side 口语书面都可以
court favor 相对比较书面
翻译练习：
我们与其讨好领导不如努力工作。
Instead of sucking up to our bosses, we should just work hard.