Передайте Setstate к ребенку

//ChildExt component
class ChildExt extends React.Component {
    render() {
        return (<div><button onClick={() => this.props.handleForUpdate('someNewVar')}>Push me</button></div>
        )}
}
//Parent component
class ParentExt extends React.Component {
  constructor(props){
    super(props);
    this.state = {lol: false }
  }

    handleForUpdate(someArg){
            this.setState({lol: true});
      		console.log(someArg);
    }
  //Notice how we don't pass the arguments into the bind.this even though it does take an argument.
    render() {
        return (<ChildExt handleForUpdate={this.handleForUpdate.bind(this)} />)
    }
}
Enthusiastic Earthworm