Multinational Species Conservation Funds Reauthorization Act This bill reauthorizes the African Elephant Conservation Act, the Rhinoceros and Tiger Conservation Act of 1994, the Asian Elephant Conservation Act of 1997, the Great Ape Conservation Fund, and the Marine Turtle Conservation Fund through FY2022. This bill amends the Great Ape Conservation Act of 2000 to authorize Department of the Interior to award a multi-year grant to carry out a project that is an effective, long-term conservation strategy for great apes (chimpanzees, gorillas, bonobos, orangutans, or gibbons) and their habitats. Interior is required to convene a panel of experts to identify the greatest needs and priorities for the conservation of great apes within a year and every five years thereafter. Current law authorizes Interior to convene a panel to consider the greatest conservation needs every two years. The panel is required to consider relevant great ape conservation plans or strategies. This bill amends the Marine Turtle Conservation Act of 2004 to make a wildlife management authority of a U.S. territory eligible for financial assistance for marine turtle conservation.