Young, 32, appeared to strike Dusan Tadic of Southampton with an elbow in Saturday’s 0-0 draw at Old Trafford.
The incident was not spotted by referee Craig Pawson and Young has until 17:00 GMT on Sunday to respond to the charge.
Young, who joined United from Aston Villa in June 2011, returned to the England squad last month after a four-year international absence.
Badu started his football career in Seikwa before moving to Berekum Arsenal where he emerged an excellent player compelling Ghanaian giants Kumasi Asante Kotoko to go for him.
Immediately after joining Kotoko, Badu had trials in England with Middlesbrough in August 2008 and at Wolverhampton Wanderers three months later.
Badu then signed on 16 April 2009 a six months loan contract with Recreativo de Huelva, on loan from Berlin FC.
On 28 January 2010, Badu joined Serie A side Udinese on a permanent deal from Berlin FC and had been consistent for the side until moving to Bursaspor on loan earlier this year.
Badu has represented Ghana at U20, U23 and senior levels, scoring the last penalty in the 2009 U20 World Cup final against Brazil to make Ghana the first African country to lift the trophy.
Badu won silver with the Black Stars at the 2010 and 2015 Afcons and was also a member of Ghana’s squad for the 2014 World Cup staged in Brazil.