There are sacrifices that God does not accept. “Even though you offer me your burnt offerings and grain offerings, I will not accept them” (Amos 5:22).
What would make God accept your sacrifice of yourself? Will your tithes and offerings make you acceptable to God? Will your church worship make you acceptable to God? When I was a teenager, I committed many sins. I went to church every Saturday and Sunday. I thought going to church will make me acceptable to God.
According to the context of Romans, what is acceptable to God is God’s will. “But be transformed by the renewal of your mind, that by testing you may discern what is the will of God, what is good and acceptable (euarestos) and perfect” (Rom. 12:2, emphasis added). To be acceptable to God then is to obey God’s will.
Also, serving Christ is acceptable to God. “Whoever thus serves Christ is acceptable to God” (Rom. 14:18). In Rom. 14, to serve Christ is to build up others in Christ.
If we obey God’s will and serve Christ, our offering of ourselves become acceptable to God.