FIFA said it passed details of Marwa's case and others linked to misconduct in a Ghanaian journalist's documentary to its "investigatory and judicial bodies to follow up."
The Kenyan official, who was approved by FIFA for international games since 2008, was filmed taking the cash at an African continental tournament in footage in released yesterday by BBC Africa.
FIFA's code of ethics prohibits officials taking cash gifts.
Marwa and Al Mirdasi both worked at the 2017 Confederations Cup warmup tournament in Russia.
A Ghanian referee, Joseph Lamptey, was banned for life by FIFA for corruptly awarding a penalty in a World Cup qualifying game in 2016 in a betting scam.
FIFA said yesterday it would impose "severe sanctions" when the integrity of competitions is compromised.
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