Unto governors (hēgemosin). Dative again of hēgemōn, a leader (from hēgeomai, to lead), old and common word (Mat 10:18).
As sent by him (hōs di' autou pempomenois). Present passive participle of pempō. Di' autou is “by God,” as Jesus made plain to Pilate; even Pilate received his authority ultimately “from above” (Joh 18:11).
For vengeance on evil-doers (eis ekdikēsin kakopoiōn). Objective genitive with ekdikēsin, for which see Luk 18:7.
For praise to them that do well (epainon agathopoiōn). Objective genitive again, agathopoios, a late word (Plutarch, Sirach) from agathon and poieō here only in N.T. Found in a magical papyrus.