The Pilgrims’ youngsters proved too strong for their visitors from the Midlands following a goal in either half at RAF College Cranwell.
Daniel Moulds opened the scoring on 27 minutes and the lead was doubled three minutes from time by Corey Newman.
Boston (3-5-2): Travis Portas; Daniel Worthington, Daniel Moulds, Joe Cain (Conor Allen 60); Liam Moran (Scott Floyd 50), Jack Dykes, Miles Lynch, Corey Newman, Jack McCallum (Jack Foyster 60); Steven Dovey, Louis Saebe.