Notification of dismissal
The model funding agreement for academies doesn't stipulate any requirements around notifying anyone when a member of staff is dismissed due to capability. You should refer to your individual funding agreement and your own procedures.
As the trust is your employer, there are no specific notification requirements for academies (as there are when the LA is the employer).
A representative from the Association of School and College Leaders (ASCL) explained this.
References for former teachers
As part of the appointment process for headteachers and teachers, the DfE recommends you ask previous employers for details about whether the individual has been subject to capability procedures in the previous 2 years.
This is in line with the requirements of the School Staffing (England) (Amendment) Regulations 2012.
Whether or not you have to respond to these requests depends on your trust's requirements