Anyone has the knowledge/experience whether graduates of this program is eligibile to sit NY or other states Bar Exams without enrolling in ABA-approved LLM first ?

An external LLB degree will not qualify you to sit for the New York bar exam. An LLM degree from a U.S. school will not cure this deficiency. Before you apply to a U.S. school I would strongly suggest that you obtain an advance evaluation of your legal education from the NY Board of Law Examiners. You need to go to the BOLE website at www.nybarexam.org and complete the online foreign evaluation request form and ask your law school to mail an original transcript to the Board along with the other documents that are listed on the website.