Lee Mitchell's side prevailed at the sixth time of asking this season courtesy of goals from Will Jackson and Tom Wilkinson, having trailed 1-0 at half-time.
The fixture was the first of three to be played on the 3G surface at Skegness Sports Association in January.
Boston (4-4-2): Jake Frestle; Jamie Gaukroger, Harry Cranfield, Brogan Horniman, Joe Hardstaff; Xander Crashley, Finlay Armond, Will Jackson, Ashton Taylor; Tom Wilkinson, Kyle Tate. Subs (not used): Craig Forbes, Kian Kelk.
Referee: Istvan Mod.