Any country 1 [that faces history in an honest and frank manner, truly learns lessons from history, and is genuinely committed to peaceful development] should not have any doubts about, 2 [much less raise objections to], such commemorations.
主干:Any country (...) should not have any doubts about (...) such commemorations. 任何国家都不应对这样的纪念活动有所怀疑。
其中,主语为“任何国家”Any country,谓语为“不应对……有所怀疑” should not have any doubts about,宾语为“这样的纪念活动” such commemorations.
现象1:定语从句,修饰主语:"...that faces history in an honest and frank manner, truly learns lessons from history, and is genuinely committed to peaceful development..."
三个动词短语并列连接,表示主语“country”的三个特征。
现象2:插入语作谓语补充说明
"..., much less raise objections to, ..."