This enzyme belongs to the family of transferases, to be specific, the CoA-transferases. The systematic name of this enzyme class is (E)-cinnamoyl-CoA:(R)-phenyllactate CoA-transferase. This enzyme is also called FldA.
Dickert S, Pierik AJ, Linder D, Buckel W (2000). "The involvement of coenzyme A esters in the dehydration of (R)-phenyllactate to (E)-cinnamate by Clostridium sporogenes". Eur. J. Biochem. 267 (12): 3874–84. doi:10.1046/j.1432-1327.2000.01427.x. PMID10849007.