For the last decade, businesses and industries have been facing difficulties in tracking their products. During the supply chain process, the attackers add their counterfeit products into the market along with legitimate products. With the increase in the number of counterfeits entering the open market, it is hard todiscover the source of the counterfeit product. Most of the existing anti-counterfeit solutions are centralized. However, current solutions lack in anti-counterfeiting, decentralization, auditing, transparency, traceability, and tag cloning. To mitigate these issues, we proposed a Blockchain-based Anonymous Anti-Counterfeit (BA2C) supply chain framework that exploits Radio Frequency Identification (RFID) and blockchain technologies. The proposed model streamlined all the transactions through Ethereum, a blockchain-based platform with the support of Proof of Authority (PoA) consensus. Furthermore, the confidentiality of transactions is gained by incorporating zk-SNARKS on the Ethereum blockchain. In this work, the proposed model was tested in terms oftransaction cost, latency, and throughput. Further, it was compared with the existing system and was found to perform better transactions in the supply chain management in terms of lower cost and higher scalability. This work concluded that the proposed model was more appropriate to evaluate the critical issues of the supply chain.