The Red Sox have scored 47 runs this season, good for 6th in the AL, a bit better than the league average (43). Their runs per game also ranks 6th (4.27).
There have not been many big innings, however. In 98 innings in 11 games, Boston has scored more two runs in an inning only five times. They scored six runs twice (April 13 and 17) and three runs thrice (April 8, 12, and 15; and they lost two of those games). The Red Sox have not scored in more than three innings of a single game.
Part of the problem is not getting guys on base.