Seems like you are missing version information in the request. So, try adding collection version information (like &archiveSets=5201) to the request.
https://ladsweb.modaps.eosdis.nasa.gov/api/v2/content/details?products=VJ103MOD&archiveSets=5201®ions=[BBOX]W-65+N27+E-33.5+S0&temporalRanges=2025-04-29+00%3A00%3A00..2025-04-29+23%3A59%3A59&format=json&illuminations=D
https://ladsweb.modaps.eosdis.nasa.gov/api/v2/content/details?products=VJ103MOD&archiveSets=5201®ions=[BBOX]W-65+N27+E-33.5+S0&temporalRanges=2025-04-29+00%3A00%3A00..2025-04-29+23%3A59%3A59&format=json&illuminations=D
Statistics: Posted by LAADSx_UserServices_M — Thu May 01, 2025 7:52 am America/New_York