Delay-tolerant Networks (DTN) are wireless networks destined to serve places or functions with minimal or not well-established infrastructure. The DTNs are challenged by an intermittent connectivity between the adjacent nodes, and disconnections may occur due to power outages, technical issues or insufficient architecture. To address the transmitting phenomena of relatively large delays and error rates, an interest-based routing approach, in which different interests and data relay to each node will enhance the DTN capacity. The use of throw-boxes will increase the performance of the networks, and an efficient buffer management policy shall be administered to improve the performance of the network. In this paper, a hybrid buffer management policy is enacted in throw-boxes for increasing the performance and energy efficiency of the network. When the buffer becomes full, data with TTL less than 5 hours will be deleted first, and then the interest type with the most copies diffused or the more popular one in the network with a high hop count will be deleted from the throw-boxes so that the data would flow between nodes and other throw-boxes to reach the destination. Of course, the interest with less popularity can also reach the destination by utilizing this approach. Results show that the buffer management policy improves the performance of challenged networks by increasing the delivery probability, the overhead ratio and the delay are decreased and the average remaining energy has better performance compared to other routing protocols.