Passion for missional Christianity comes from the Lord. You cannot create a passion in your church, only God can. For that reason, the primary “methods” for creating this passion in your people are prayer and the Word.
In your personal devotion, pray and ask God to create this passion in His people. Pray for more laborers in His harvest (Matt 9:38). At the same time, be intentional in times of corporate prayer to pray for the lost, to pray for missions, to pray for unreached peoples, to pray that God would give his people a burden for evangelism, to pray that God would raise up more laborers.
Pray and ask God to give YOU a burden for the lost and for his gospel. Pray and ask God for opportunities to evangelize. Pray specifically for lost individuals. Set aside time for personal evangelism. Baptize believers with rejoicing. Allow the church to “catch” your own passion for the gospel.
Make God’s act of redemption through Jesus Christ central to your preaching. Spend more of your sermon and teaching time focusing on the Cross and Resurrection. When preaching on practical issues, make sure to emphasize not only the moral guidelines. Rather, preach Christian living in terms of redemption, putting on the new self. Preach a sermon series on God’s redemptive plan. Demonstrate this redemptive purpose through the entire corpus of Scripture and not just the Great Commission. Show how evangelism and missions is the role of His church.
How do we create a passion in God's people? Continually bring the need for gospel passion to the Lord in prayer. Then, bring that need to the church in your word and witness.