Hayden Cann's 13th minute header and Gbemi Arubi's 43rd minute effort had the Imps in control at half-time, with Oisin Gallagher (64) Gbolahan Okewoye (82) adding further goals after the break.
Both teams were unrecognisable from their first choice squads, with United fielding Jai Rowe, alongside five under-23s players, three under-19s and two trialists in their starting XI.
Boston (4-3-3): Jake Lovelace; Tyler Knowles, Ellis Perry-Burdett, Will Hall, Ryan Hand; Sam Essien, Jai Rowe, Will Langford (Sheikh Tijan Mbowe 89); Kofi Gonsalves (Kris Zaluzinskis 61), Luke Horne (Nathan Bowen 74), Troy Chiabi. Subs (not used): Taylor Jaine, Lucas Turrell, Finley Ging, Daniel Martin (gk).
Lincoln (4-4-2): Jacob Carney; Morgan Worsfold-Gregg, Hayden Cann (Charlie Parks 76), MJ Kamara, Kallum Cesay; Divine Izekor (Russell Berko 83), Oisin Gallagher (Louis Nesbitt 76), Senan Mullen, Zane Okoro; Gbemi Arubi, John O'Sullivan (Gbolahan Okewoye 76). Sub (not used): Isaac Allen (gk).
Referee: Gary Caley.
Attendance: 297.
PIC: Russell Dossett.