RMG is the credit risk managment arm of RMG Global. They work for mortgage investors, insurers and others in the business of lending money for purchase of homes. They investigate the collateral and the purchaser's ability to repay the loan and report the information to their customers (sometimes called "Due Diligence"). A QC auditor's job should be to verify the accuracy of the information.
In light of the financial turmoil the mortgage industry has gone through since 2008, I suspect such verification is not something being "offered" by HUD but rather it would be required for any mortgage they are participating in.