That's the animal sacrifice, in which God takes no pleasure. It was written in Isaiah 1:11 and a lawyer kind of quoted that in his response to the two great commandments from Jesus. His death on the cross was the ultimate sacrifice that legally ended the ritual of animal sacrifice. As you said, God doesn't accept dead sacrifices, therefore after Jesus we ought to present ourselves as living sacrifice.A couple of things. The life of the flesh and blood (one thing) is not literal blood without the spirit essence of life
The literal blood of the sacrifices must be poured out to show that unseen spiritual life was given. God does not accept dead sacrifices or blemished .
Keeping with the law literal blod without the spirit must be poured a that base of altar . The blood of Jesus in keeping the law was poured out at the cross to show it returns to lifeless, dust.
Jesus working with the father gave his spirit life in jeopardy of the Holy Spirit, the Father of all spirit life that worked in Jesus as if Spirit was blood .