If you want to test a Connected Component within a Provider while using Enzyme's mount and set its props to test how it renders by using something like toMatchSnapshot then you can set the props like so.

setPropsInReduxEnzymemount.js

import React from "react";
import { mount } from 'enzyme';
import renderer from 'react-test-renderer'
import { Provider } from 'react-redux'

describe("Given you have a component that is wrapped in a Redux store and mount it, then you want to update the props of the child component", () => {
  it('renders correctly', () => {
    const mockStore = configureStore();
    let store = mockStore(initialState) 
    let wrapper = mount(<Provider store={ store }><ConnectedComponent /></Provider>)
    wrapper.setProps(
        { 
            children: React.cloneElement(
                wrapper.props().children, {
                    propOne: acceptedStates[0],
                    propTwo: []
                    }
            )
        }
    );

    const tree = renderer
    .create(wrapper).toJSON();
    expect(tree).toMatchSnapshot();
  })
});

// Answer found here https://github.com/airbnb/enzyme/issues/1384#issuecomment-347150970