Generally speaking, a Federal law would only be struck down if its intent or wording specifically violates a clause in the Constitution or its Amendments. So, it really depends on how its worded or what its intent is. I think it's pretty clear that Congress has the Constitutional authority to pass environmental regulations and could extend the EPA's mandates or legislatively codify EPA regulations such that they become law, because they have to do primarily with things which are commerce across state lines and national borders (e.g. where energy originates and where its expended are across borders).
Essentially the same justification for why Congress could create the EPA in the first place allows them to codify any regulations as law or to extend the EPA mandate. What cannot happen is the EPA unilaterally deciding to overreach its mandate, because its taking actions with the force of law but without any check/balance. The Constitution is quite clear that laws are the purview of the Legislative, not the Executive, and the EPA is a function of the Executive.
Essentially the same justification for why Congress could create the EPA in the first place allows them to codify any regulations as law or to extend the EPA mandate. What cannot happen is the EPA unilaterally deciding to overreach its mandate, because its taking actions with the force of law but without any check/balance. The Constitution is quite clear that laws are the purview of the Legislative, not the Executive, and the EPA is a function of the Executive.