You need to make use of refs to call a function in the child component from the parent component
render the List component from parent as
<List ref="myList"/>
and then access the handleNewText()
function as this.refs.myList.handleNewText()
UPDATE:
Strings refs are no longer recommended by React, you should rather use ref callbacks, check this
<List ref={(ref) => this.myList=ref}/>
and then access the child function like
this.myList.handleNewText()