Sunderland and Oxford United have both been charged by the Football Association for failing to control their players.
All parties have until Wednesday to respond to the charges.
Robinson said police were called at half-time following claims his goalkeeper Jack Stevens was headbutted.
Sunderland won the ill-tempered match 3-1 at the Stadium of Light on Good Friday. Robinson was sent to the stands after Aidan McGeady scored Sunderland's second goal, while Oxford midfielder Mark Sykes was also sent off for a second yellow card just after the hour.