In this per curiam* order, does not answer the question of whether or not the Ohio Secretary of State is in compliance with the "motor voter law." The opinion states that the respondents (the Ohio Republican Party) are not likely to have standing to sue.
The TRO was thrown out and the Ohio Secretary is able to do as she was doing before.
After reviewing the Statute in question and the relevant CFR's, I've come to the conclusion that only a higher authority within the State or the Federal Election Commission has standing to sue for relief (Since I'm not an attorney, I could very well be wrong).
* per curiam: "by the court." An unsigned order of which the whole court agrees.