I appeal to you therefore, brothers, by the mercies of God, to present your bodies as a living sacrifice, holy and acceptable to God, which is your spiritual worship. (Romans 12:1 ESV)
As you come to him, a living stone rejected by men but in the sight of God chosen and precious, you yourselves like living stones are being built up as a spiritual house, to be a holy priesthood, to offer spiritual sacrifices acceptable to God through Jesus Christ. (1 Peter 2:4-5 ESV)
To be a living sacrifice you need to be first rejected by men just as Christ was rejected. Living sacrifices are not just rejected by men for rejection sake. They are rejected because of their knowledge and faith in Christ Jesus. Living sacrifices do not live or conform to the traditions or standards of men but rather live according to the standards of God.
Through rejection by the sin infected world, God is able to work out His Holy and perfect will in your life. If you live for the Glory of God you will die accepted by God. If you live for the acceptance of man you will die rejected by God. Living sacrifice live for God and not for themselves or man.