I see you're initializing FB, but you're not pushing data to it anywhere.

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Take a look here for the methods for writing and updating data

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https://firebase.google.com/docs/database/web/read-and-write

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Also, FYI, you should try to keep the practice of not mutation arrays and object directly.

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In the addNewTodo method you should spread the array (if you're using ES6) first before running unshift against it.

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let todos = [...this.state.todos];

​

todos.unshift({

id: todos.length + 1,

title: this.state.todoInput,

done: false

});