Complementarians as diverse as Mary Kassian and Douglas Moo believe that separate and distinct “gender roles”, one for men and another for women, are rooted in creation and are, therefore, fixed and timeless. When they speak of “gender roles”, they primarily mean that men were designed to be leaders and women were designed to be submissive to male leadership.
Complementarians typically interpret the creation accounts found in Genesis chapters 1-3 with Paul’s references to creation firmly in mind, especially the references found in 1 Corinthians 11 and 1 Timothy 2.
In 1 Corinthians 11:3-16 Paul writes about the appropriate appearance of men and women who prophesy and pray aloud in church gatherings, and he mentions concepts found in Genesis 2. In 1 Timothy 2:13-14, he provides a brief and accurate summary of Genesis 2 and 3. Furthermore, Paul mentions Adam in Romans 5:14 and 1 Corinthians 15:22, 45, Eve in 2 Corinthians 11:3, and he quotes words from Genesis 2:24 in Ephesians 5:31.
Paul uses material from Genesis 2-3 in various ways to make various points. It’s important, however, to let the creation narratives speak for themselves. It is unsound to let Paul’s use of them in an illustration, or in an example or type, etc, unduly influence our understanding of the creation story. Genesis 1-3 help us understand some of Paul’s teachings, but it does not necessarily work the other way around. Cynthia Long Westfall expresses this well in her superb new book, Paul and Gender: Reclaiming the Apostle’s Vision for Men and Women in Christ (Grand Rapids, MI: Baker Academic, 2016), 62-63.
Dr Westfall writes:
It has been claimed that Pauline instructions based on the creation account must be normative. However, there should be no a priori assumption that any Pauline command, prohibition, or instruction supported by the creation is a ‘transcendent norm’ (or a universal conclusion) as opposed to an occasional or culturally bound application. Confessional traditions agree that all Scripture, including the creation account, is useful for reproof and correction (2 Tim. 3:16), which includes specific applications to problems that are limited to situations and culturally bound issues. Therefore, any assumption that a citation of the creation account must indicate a transcendent norm is a problematic presupposition.
Both Jesus and Paul believed that the biblical account of the creation of humanity as male and female conveys transcendent norms about gender, but Paul also cited it to support his argument for veiling in 1 Corinthians 11:3-16, which is a culturally bound application. It is a logical fallacy to suggest that transcendent norms or universal premises can be used only to support normative or universal conclusions. A biblical understanding of creation may be applied to specific situations involving specific individuals, be embedded in a dialogue, address problematic theology of practice in a Pauline church, or critique the Second Temple or Greco-Roma culture.
Here’s the best bit:
In addition, this erroneous hermeneutical restriction of citations or allusions to the creation account to transcendent norms is inconsistent with the best evangelical hermeneutic and homiletic traditions, which attempt to find relevant, fresh, and specific applications of scriptural norms for their contexts in every sermon.
I couldn’t agree more. I don’t believe Paul mentions Adam and Eve to permanently and universally ground the prohibition in 1 Timothy 2:12 in creation. (More on this here.) I also don’t believe Paul taught an idea of male leadership over women and that he grounded this idea in creation.
Gender roles are not mentioned in Genesis 1 or 2. Rather the first two chapters of Genesis show us that the first man and woman were equal and perfectly compatible. Compatibility, equality, and unity among Jesus’ followers was what Paul wanted for the church and marriage, not hierarchies or castes or inflexible gender roles.
 For example, Mary Kassian, Women, Creation and the Fall (Westchester, Il: Crossway Books, 1990), 13; and Douglas Moo, “What Does It Mean Not to Teach or Have Authority Over Men?,” in Recovering Biblical Manhood & Womanhood: A Response to Evangelical Feminism, ed. John Piper and Wayne Grudem (Wheaton, IL: Crossway, 1991), 177 & 178. Westfall provides the example of Thomas R. Schreiner, Paul, Apostle of God’s Glory in Christ: A Pauline Theology (Downers Grove IL: Intervarsity, 2001), 408-9.
The Significance of the Created Order, in a Nutshell
The Complementarian Concept of the Created Order
Do women have a special obligation to be helpers?
1 Timothy 2:12, the created order, and the Bible men who were guided by women
Women, Eve and Deception
Is Adam solely responsible for the first sin?
Galatians 3:28: Our Identity in Christ and in the Church
Gender Division Divides in the Church