That “order” contains recommendations, encouragements, and suggestions. It doesn’t seem to be legally enforceable.
I think every state had its own variation but ultimately after around April 2020 everyone has been free to get in a car and drive anywhere or get on a plane and fly anywhere within the USA. Some states had compliance regimes where you were supposed to quarantine or be tested after arriving, or be fined, but many did not. I traveled to one state with such an order twice and each time it was essentially voluntary - there was a theoretical fine if I didn’t follow the rules, but no one ever checked up on me to make sure I had a negative test. Unlike overseas governments (Singapore, Australia, China, vietnam, etc) our restrictions were basically on the honor system everywhere.
I believe one major exception is Hawaii where they actually did enforce quarantines somewhat and jailed or expelled tourists, and also had the lowest cumulative per-capita covid death tolls.