Collocations for baton - noun

wooden
police

carry, hold
draw (BrE), use
The police were ordered to draw their batons and disperse the crowd.

charge (BrE)
Five people were injured in the baton charge.

raise, tap, wave
He tapped his baton on the music stand to get everyone's attention.

under the baton of
The orchestra made the recording under the baton of a young German conductor.

hand, pass
Each runner passes the baton to the next.

take, take up
drop

swing, twirl