Catalysis of the reaction: 2 ATP + 2 corrinoid + reduced  = 2 adenosylcorrinoid + 3 H+ + oxidized  + 2 triphosphate. The corrinoid can be cob(II)yrinate a,c diamide, cob(II)inamide or cob(II)alamin.
ATP:cob(I)yrinic acid-a,c-diamide cobeta-adenosyltransferase activity