The blood of animals (sacrifices) are not required in the Church Age for believers. The Israelites stopped sacrificing after their return from Babylon and even today are not slaughtering animals as offerings. Why?
After returning from Babylon, the Jews began sacrificing animals again as soon as they had built an altar (Ezra 3:1-3), and did not stop offering animal sacrifices until the Temple was destroyed in 70AD. Without an altar on the temple mount no sacrifices can be offered and that’s why they’re not doing it today. They have recently completed a mobile altar and as soon as they have permission to move it into place animal sacrifices can resume.