Carbon　emission　trading　schemes　have　been　widely　implemented　in　many　countries　to　achieve　carbon　peaking　and　carbon　neutrality　goals,　significantly　encouraging　manufacturers　to　proactively　invest　in　carbon　emission　reduction.　The　core　manufacturer　in　green　supply　chain　needs　to　comprehensively　determine　carbon　emission　reduction　investments,　raw　material　procurement,　product　production,　transportation,　distribution,　and　financing　decisions　by　considering　consumers＇　green　preferences　and　financial　constraints.　To　effectively　tackle　this　newly　emerged　practical　decision-making　problem,　a　mixed-integer　linear　programming　(MILP)　model　with　the　objective　of　profit　maximization　is　formulated.　To　address　large-scale　problems　efficiently,　a　two-stage　matheuristic　algorithm　(TSMA)　is　developed.　Numerous　test　results　indicate　that　TSMA　significantly　enhances　solution　efficiency　and　achieves　high-quality　solutions　with　gaps　of　less　than　1.07%.　The　results　confirm　that　carbon　emission　reduction　investments　and　carbon　pledge　financing　can　simultaneously　decrease　manufacturers＇　carbon　emissions　and　improve　the　profitability　of　supply　chains.　Sensitivity　analysis　demonstrates　that　carbon　quota　prices　and　consumers＇　green　preferences　positively　impact　profit　and　carbon　emission　reduction　in　green　supply　chains.