The only people I know of who argue for a continuation of animal sacrifice are dispensationalists. Dispensationalism doesn't really teach that God deals differently in different ages. It teaches that God deals differently with different people groups. Jews have one way of worshipping, and gentiles have another; God has one plan for Jews, and another plan for gentiles.
Prog Disps like Blaising reject animal sacrifices in the future.
Dealing "differently" is a bit ambiguous, I grant. Most dispensationalists wouldn't have a problem with saying
"different modes" of the economy of salvation without implying different ways of salvation.