The meanings of these two are different. OSFP stands for Open Shortest Path First. BGP means Border Gateway Protocol. The main difference between the two is that OSFP is a type of intradomain routing protocol, while OSFP is an interdomain routing protocol.
OSFP makes sure that the routing will be within its system. BGP will allow routing to take place between two different autonomous domains. The implementation of OSFP is also known to be easier as compared to the BGP. It would take time, and a lot of effort before BGP can be correctly placed and used. The OSFP will also require a hierarchical network to work while the BGP would need a meshed network.