The phrase "sacrificial system" refers to a religious practice where sacrifices, such as animals or goods, are offered to a deity or higher power as a way to seek their favor, forgiveness, or blessings. Full definition
And under the New Covenant made possible by Jesus sacrificial death, the old sacrificial system of offering innocent unwilling animals to atone for sin was also done away with. (religion.blogs.cnn.com)
The temple was supposed to have been a house of prayer for all nations, nut the Jews created a bloody sacrificial system. (redeeminggod.com)
To meet that situation the whole sacrificial system was created. (religion-online.org)