go one better
to do something that is more advanced or more generous than someone else
更胜一筹,胜过
I gave her a card, but my brother went one better and bought her a present.
我送了她一张贺卡,可我哥哥更大方,给她买了礼物。
She did well this year and next year she hopes to go one better.
今年她干得不错,她希望明年更上一层楼。