The Pilgrims trailed 1-0 at half-time before going on to concede three second half goals to seal a comprehensive defeat.
The result leaves United with only one league win to their credit so far this season.
Boston (3-5-2): Jamie Bradley; Josh Spencer, Billy Hodgkiss, Joe Cain (Corey Newman 55); Daniel Worthington (Harry Bunce 46), Miles Lynch, Jacob Pease, Aaron Eyett, Jordan Sowerby; Liam Moran (Steven Dovey 60), Bradley Easey.