An EO can’t actually order state governments or state government employees to do anything.
I was thinking about this. It can’t order the states to do Voter ID, Citizenship requirements, or voting eligibility requirements, or verification. It can block Federal funds to states that don’t.
Then I considered that the ‘enforcement’ of any law in the US is ultimately based upon the executive. So, technically, Trump can issue an E.O. and enforce said E.O.