Randall Hayes has obtained the number of registered voters in each party in Louisiana, as of June 1. See his blog here, which has the complete list of all parties and how many registrants they have. The most surprising news is that Americans Elect has been running a registration drive in Louisiana. It has 803 registrants.
Louisiana law says a group becomes a qualified party if it obtains at least 1,000 registrants, and also it must pay a fee of $1,000. After it attains party status, it keeps it as long as it runs a candidate (for office other than president, vice-president, or presidential elector) every four years. It is not known if Americans Elect will finish its registration drive to attain the 1,000 registrants needed for party status.
The Republican, Libertarian, Green, and Reform Parties have all gained registrations in Louisiana since January 2012, but Democratic Party registration has declined.