Here "name" represents God's power. God's enemies acknowledging that God is powerful is spoken of as if they are seeking to find Yahweh. Alternate translation: "they might acknowledge that you are powerful" (See: [[rc://en/ta/man/jit/figs-metonymy]] and [[rc://en/ta/man/jit/figs-metaphor]])
Possible meanings are 1) God's enemies admit that God is powerful or 2) God's enemies are asking God for help or 3) God's enemies start to worship and obey him.