Here are some options to download MODIS Terra/Aqua Level 3 AOD (Aerosol Optical Depth) data:
NASA's LAADS DAAC (Level-1 and Atmosphere Archive & Distribution System): Provides MOD04_3 (Terra) and MYD04_3 (Aqua) Level 3 global AOD data in HDF format. You can search and download by date, parameter, etc.
NASA's Giovanni portal: Allows online visualization and downloading of Level 3 MODIS AOD data globally. Select MODIS Terra/Aqua, Aerosol Optical Depth parameter, and wavelength.
Google Earth Engine: Provides an API to access pre-processed Modis data. You can filter by date, apply masks, and download.
NOAA's ERSL PDAAC: Offers MODIS Atmosphere L3 Global AOD data as part of the MxD04 product. HAS multiple parameters including AOD at 470/550/660 nm.
NASAs Fire Information for Resource Management System: Gives MODIS Aqua & Terra AOD L3 global daily data.
ICARE Data and Services Center: Provides MODIS L3 AOD products from Collection 6.1 with online plotting and downloading.
Here are some direct links to download MODIS Terra/Aqua Level 3 AOD data at 470nm, 550nm, and 660nm wavelengths: