Current Flag:
This is a really ugly seal on a bedsheet. There is one good element in it, however. The beehive really does symbolize Utah, as it is called the Beehive State.
My Redesign:
This flag uses the aforementioned Beehive State symbolism. The beehive represents Utah as a U.S. State. The two stripes represent New Spain and Mexico, of which Utah was a part of before becoming a territory, then a state.