Please explain. Noether's theorem equates global symmetry laws with local conservation laws. The universe does not in fact have global symmetry across time.

You are making the same mistake as OP. Formal models and their associated ontology are not equivalent to reality. If you don't think conservation principles are valid then write a paper & win a prize instead of telling me you know for a fact that there are no global symmetries.

The Nobel Prize is yours to collect: https://en.wikipedia.org/wiki/Expansion_of_the_universe

I have other interests but you are welcome to believe in whatever confabulation of formalities that suit your needs.