This could be stated in active form. Alternate translation: "God will forgive the sins of everyone who believes in Jesus because of what Jesus has done" (See: [[rc://en/ta/man/jit/figs-activepassive]])
Here "his name" refers to the actions of Jesus. His name means God who saves. Alternate translation: "through what Jesus has done for them" (See: [[rc://en/ta/man/jit/figs-metonymy]])