The Pilgrims' youth team were defeated 4-0 at the Jakemans Community Stadium by FC Halifax Town.
The result extended United's wait for victory since their resounding opening day win over Gateshead.
Boston: Zach Marsh, Oliver Nicholson, Oliver Houlston (Oliver Callaby 46), Dexter Tomlinson (Finley Hipkin 75), Kirils Snikeris, Charlie Brooks, Toby Cotton (Sean Bray-Smith 60), Will Langford, Charlie Burden-Whittleton, Rueben Fogg (Jake Thompson 85), Rhys Smaller (Will Pettitt 65).
Referee: Istvan Mod.