"...第四届中国高校人文社会科学研究优秀
成果奖申报评审工作..."
邓申报的是成果, 不是人.奖的是成果, 不是人. All authors are honored due to their contribution to the 成果 ,and financial award should be split according to their contributions.
Thus, 邓 has no fault (or at least no evidence to proof so), assuming the Ed dept document and the image of the award are true.
邓 should get an apology, unless more evidence exist.