A 1956 Boston Red Sox Program/Scorecard is worth about $20.-$30. in excellent - near/mint condition. As with all collectibles, condition is the most important factor of all providing that the item is authentic. With programs/scorecards the slightest flaws will bring the price down significantly. An exceptional mint condition scorecard could sell for more.
Common flaws would be staining, foxing (yellowing), fading, stains, creases, rips, loose pages, cracked binding, and writing on the cover. Un-scored programs will generally sell at a higher price than a scored program but sometimes it doesn't effect value. The over all condition, and how well the cover displays will.
The value on a "scored" program as opposed to a un-scored program can vary depending on the game, and collectors preference. In general I would say an un-scored program will sell at a higher price. Some collectors do not mind scored programs. In a recent auction a 1956 Boston Red Sox Program sold for $23.83 See related Links for information on vintage baseball publications.