By Lawrence Hurley WASHINGTON, April 27 (Reuters) - The U.S. Supreme Court on Monday revived religious objections by Catholic groups in Michigan and Tennessee to the Obamacare requirement for contraception coverage, throwing out a lower court decision favoring President Barack Obama's administration. The justices asked the Cincinnati-based 6th U.S. Circuit Court of Appeals to reconsider its decision that backed the Obama administration in light of the Supreme Court's June 2014 ruling that allowed certain privately owned corporations to seek exemptions from the provision.