This sounds frustrating, but I'm a bit concerned how hostile you seem towards a foster child.
I think you're going to need to enlist the help of some psychiatrists, councillors, doctors, etc. that particularly specialize in childhood development. I think trying to get a kid with severe ADHD to "shut the hell up" is not the right approach and could have some very negative consequences in terms of their development and could even backfire in terms of acquiring the social skills you wish for them to have.
Yes they are prescribed medicine and have weekly counseling from a counselor. We limit the medication for school and special events as it’s not perfect, has side effects, and they can become tolerant. The counseling is for prior trauma from neglect not for ADHD.
I think you're going to need to enlist the help of some psychiatrists, councillors, doctors, etc. that particularly specialize in childhood development. I think trying to get a kid with severe ADHD to "shut the hell up" is not the right approach and could have some very negative consequences in terms of their development and could even backfire in terms of acquiring the social skills you wish for them to have.