The phrase "a motion on" is correct and usable in written English.
You can use it when describing a formal proposal or resolution. For example: "The board made a motion on the new budget proposal."
Indeed, National Amusements won one point, getting the judge to hear a motion on this issue in July.
Mr. Thompson made one last attempt to keep the criminal case alive, filing a motion on Monday asking that Mr. Vance's office be disqualified.
On one recent night, the Intelligence Squared U.S. debate series put forth a motion on Columbia University's campus: "More Clicks, Fewer Bricks: The Lecture Hall Is Obsolete".
3.55pm: Debate on a motion on schools.
Babbio insisted that there was a motion on the table.
They submitted a motion on Tuesday to impeach.
4.40pm: Debate on a motion on Lords reform.
Some even guarantee to get a motion on the ballot.
September 24 , 20129.27am BST The Lib Dems are currently debating a motion on science.
4.35pm BST The Lib Dems are now debating a motion on school.
Mr. Benson said he would file a motion on Friday to dismiss the case.
