There is nothing wrong per se with EOs. They are an inherent feature of the presidency. The president's job is to enforce the law and there is no one way to do that so the president issues an EO saying how he will do it. For example if Trump issues an EO telling the FBI to do sting operations on businesses to catch companies hiring illegals - that is fine. But if he issued an EO ordering all businesses to use e-verify - that would amount to writing a law and he can't do that.
That's not quite right
ShootSpeeders. An Executive Order is simply like it sounds - an order instructing the people under him how to operate. It's not just about enforcing the law (though that's certainly a part). It can also be things such as the policies and procedures he wants from those in the Executive Branch.
The bottom line is this: a legal/constitutional Executive Order applies
only to the Executive branch. The president
cannot sign an EO telling private industry what to do, altering existing law, abolishing existing law, creating new law, etc.