Why aren't my todo items rendering with Redux?

I'm doing a simple redux / react todo app. I can't get the todo items to show up. I'm able to console.log the data, but can't get it to appear. What am I doing wrong?

I separated the files, here is my app.js:

import React, { Component } from 'react';
import Todos from './todos';
import TodoList from "./todo_list";

export default class App extends Component {
  render() {
    return (
      <div>
        <Todos />
        <TodoList/>
      </div>
    );
  }
}

Here is the container Todos:

import React, {Component} from 'react';
import { connect } from 'react-redux';
import { bindActionCreators } from 'redux';
import { addTodo } from '../actions/index';

class Todos extends Component {
    constructor(props) {
        super(props);
        this.state = {text: ''};
    }

    addTodo(e) {
        e.preventDefault();
        this.props.addTodo(this.state.text);
        this.setState({
            text: ''
        });
    }

    updateValue(e) {
        this.setState({text: e.target.value})
    }

    render() {
        return (
            <div>
                <form onSubmit={(e) => this.addTodo(e)}>
                    <input
                        placeholder="Add Todo"
                        value={this.state.text}
                        onChange={(e) => {
                            this.updateValue(e)
                        }}
                    />
                    <button type="submit">Add Todo</button>
                </form>
            </div>
        );
    }
}


function mapDispatchToProps(dispatch) {
    return bindActionCreators({addTodo}, dispatch);
}

export default connect(null, mapDispatchToProps)(Todos);

Here is the TodoList:

import React, {Component} from 'react';
import {connect} from 'react-redux';

class TodoList extends Component {

    render() {
        return (
            <ul>
                { this.props.todo.map((tod) => {
                    return <li key={tod.message}>{ tod.message }</li>
                })}
            </ul>
        );
    }
}

function mapStateToProps({ todo }) {
    console.log({ todo });
    return { todo };
}

export default connect(mapStateToProps)(TodoList);

Reducer:

import { ADD_TODO } from '../actions/types';

export default function(state=[], action) {
    switch(action.type) {
        case ADD_TODO:
            return [ action.payload.message, ...state ]
    }
    return state;
}

And action

import { ADD_TODO } from './types';
const uid = () => Math.random().toString(34).slice(2);

export function addTodo(message) {
    const action = {
        id: uid(),
        message: message
    };
    return {
        type: ADD_TODO,
        payload: action
    };
}

This is what I get from the console.log({todo});

Here is my reducers/index:

import { combineReducers } from 'redux';
import TodosReducer from './reducer_addTodo';

const rootReducer = combineReducers({
    todo: TodosReducer
});

export default rootReducer;

It's because there's a disconnect between your TodoList and reducer. TodoList, when mapping, expects each todo to have a message prop, but your reducer, when returning next state, only includes the message in the state array, not an object with the message property:

case ADD_TODO:
  return [ action.payload.message, ...state ]

Instead, do not just put the message string in the next state's array, put in the whole object:

case ADD_TODO:
  return [ action.payload, ...state ]

Now every single element in the todo array will be an object and have a message and id property. Also, try using an always unique expression for key -- it really shouldn't be the todo message, nor the id you supplied because it's using Math.random which both have a possibility of keys being the same.