Here is a high-level review of the manufacturing contracts between US DOD and Moderna. 

Moderna's injection, mRNA-1273 is co-owned with the US Government, as the company has been funded by the defense research grants for years and also received intellectual property transfers from the US Government, in addition to preclinical and clinical research work conducted for Moderna by the NIH Vaccine Research Center. The NIH and Moderna each have a separate Investigational New Drug number for this product.

Moderna entered 2 types of contracts with the US Government for Spikevax injection:

"Vaccine" contract and amendments that specifies R&D projects that the US Government ordered and paid for. Note that in Pfizer's case no R&D activities were ordered or paid for by the US Government, as these were excluded from the scope of the contract.

"Manufacturing" contract(s) that ordered a large-scale manufacturing. This is different from Pfizer manufacturing contracts as the words "demonstration" and "prototype" are not used. I believe this is because OTA contracts must be for prototypes but FAR contracting doesn't have to be.