This looks good to me, and might be better than establishing an explicit definition within the Constitution, although that would be better than doing nothing at all.
The explicit definition is more marketable, though.
Would the President have a veto over Congressional standards, or would Congress be sovereign in this?
Maybe, something to the effect that the federal government shall have the authority to adopt statutes establishing a definition of who is eligible for marriage ..." etc. Just what is the cadence of words typically used here is not my specialty. I am not a constitutional lawyer, but rather a mere hack provincial lawyer, who makes his living drafting constracts, and yipping and yapping in provincial courts.