Considering the carbon tax policy and remanufacturing patent protection, the game models between an original equipment manufacturer and a third party remanufacturer in different scenarios are established, and the impacts of carbon tax and emission reduction on the manufacturing/remanufacturing decisions are discussed. The results show that the carbon tax reduces the original manufacturer's profit. When the acceptance level of remanufactured products is greater than the emission intensity of remanufactured products, the carbon tax will increase the remanufacturer's profit; emission reduction will increase the quantity of new products and the original manufacturer's profit. However, emission reduction increases the licensing fee, which is not conducive to recycling, so the remanufacturer's profit may not necessarily increase. The recovery rate and total profit in the centralized decision-making are higher than those in the decentralized scenario. When the conditions for carbon tax to promote remanufacturing are met, the centralized decision has better environmental performance. The coordination of closed-loop supply chain can be realized by the original manufacturer charging an appropriate license fee and the remanufacturer sharing part of the emission reduction cost. Finally, the results are verified by numerical simulation, and the effects of carbon tax and emission intensity of remanufactured products on emission reduction rate are further analyzed.