go one better

US /ɡoʊ wʌn ˈbɛtər/
UK /ɡoʊ wʌn ˈbɛtər/
"go one better" picture
1.

to do something better than someone else, or to improve on something that has already been done

:
After his rival scored a goal, he managed to go one better and score two.
The new model of the car aims to go one better than its predecessor with improved features.