Fishery Management Transparency and Accountability Act - Amends the Magnuson-Stevens Fishery Conservation and Management Act to direct each Regional Fishery Management Council to make available on the Internet website of the Council: (1) a live broadcast of each meeting of the Council, the science and statistical committee, and the coordination committee that is not closed for certain national security, employment, or litigation briefing matters; and (2) complete audio, complete video if the meeting was in person or by video conference, and a complete transcript of each such meeting for a specified period.