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We searched the guide to Federal Records of World War II and The US Army's history of the Army Ground Forces: The Procurement and Training of Ground Combat Troops, and did not find any references to a Training Aid Division. Do you know if the office might have gone by another name?
We have custody of the Records of Headquarters Army Ground Forces (Record Group 337) https://catalog.archives.gov/id/650, but a keyword search for "Training Aid" only lists files that contain copies of training aids, nothing related to the establishment or operations of specific Training Aid Divisions. It is possible that there may be records related to your research somewhere in Record Group 337, but it would likely require extensive searching. The Guide to Federal Records (https://www.archives.gov/research/guide-fed-records/groups/337.html might help you identify series of interest. There do not appear to be any series of records specifically related to installations at Santa Anita or Aberdeen.
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