FRANKFORT, Ky. (AP) -- Restoring America filed a motion Tuesday, asking that Franklin County Circuit Judge Thomas Wingate's order be overturned.
The appeal wasn't immediately assigned to a judge because the motion had an unspecified technical deficiency that requires it be corrected and refiled.
Restoring America supports Beshear's chief opponent, Republican David Williams.
Wingate issued the restraining order Monday after the Kentucky Democratic Party argued Restoring America violated state campaign finance law, by not disclosing who donated $1.3 million in contributions.
State law requires such groups to identify their donors in reports to the Kentucky Registry of Election Finance.