There is no other Sabbath rest besides Jesus. He alone satisfies the requirements of the Law, and He alone provides the sacrifice that atones for sin. Believers today, being under the New Covenant, are not bound to keep the sign of the Old Covenant. The New Covenant is better.
During Jesus’ life the Law was still in effect and He observed all of the requirements of the Law in order to save everyone from the demands of the law.
But Latter-day saints will argue that the Sabbath is said to last forever and to be perpetual. How could it no longer be necessary? Exodus 31:16-17 “Wherefore the children of Israel shall keep the sabbath, to observe the sabbath throughout their generations, for a perpetual covenant. It is a sign between me and the children of Israel for ever: for in six days the Lord made heaven and earth, and on the seventh day he rested, and was refreshed.”