Something I love about two ways to live is that it follows God's big story. Another thing is that it is simple and memorable. But, it's easy to take it individually, i.e. without reference to the church as God's new people under his rule.
The accompanying text is written in plural 'us' language but that's probably just to be inclusive.
The 'church' absence could also be because it's an Anglican invention and according to Mark Dever the Anglican's don't have any ecclesiology - just thinking that church is the plural of Christian (9 marks interview) !!
The 'church' absence might be due to the apparent jump from Genesis 3 to Jesus - without Abraham, Israel and a whole lot of other stuff. Granted you can't say everything in a six box outline the people of God is a pretty big theme in the Bible.
Either way, 'church' looks like a pretty big theme biblically - a people who are Jesus' body, once divided now united in him. Church has a bad reputation with our society but that's not so much a reason to avoid mentioning it, rather it's a good reason to talk very positively about it!
I'm aware as I offer this minor critique that I don't tell anyone any of the gospel anywhere near as much as I could / should. O, that I was more courageous. More compelled. More graced:
"...grace was given, to preach to the Gentiles the unsearchable riches of Christ, and to bring to light for everyone what is the plan of the mystery hidden for ages in God who created all things, so that through the church the manifold wisdom of God might now be made known to the rulers and authorities in the heavenly places."
There are two ways we can live, and one message that the heavens and the earth need to hear - as the unsearchably rich Christ builds his church, all things come under his rule!