Catalyzes two steps in the biosynthesis of the molybdenum cofactor. In the first step, molybdopterin is adenylated. Subsequently, molybdate is inserted into adenylated molybdopterin and AMP is released. ATP + H(+) + molybdopterin = adenylyl-molybdopterin + diphosphate adenylyl-molybdopterin + H(+) + molybdate = AMP + H2O + Mo-molybdopterin Cofactor biosynthesis; molybdopterin biosynthesis. Detected primarily in the epidermal cells of the segmental grooves during germ-band retraction (7-9 hours after egg laying). In the N-terminal section; belongs to the MoaB/Mog family. In the C-terminal section; belongs to the MoeA family.