Following a prolific season to date in the scheme's development team, Tate bagged his first goals of the National League U19 Alliance campaign with a strike in either half at Cambourne Sports Centre.
Norwich struck either side of Tate's double — with Young scoring the winning goal from distance in the 73rd minute.
Boston (4-1-4-1): Jake Frestle; Jamie Gaukroger, Marshall Young, Daniel Fisher, Nathan Stevens; Lewis Bontoft; Xander Crashley, Mido Turki, Kyle Tate, Will Jackson; Harrison Holland (Jack Bastow 66). Sub (not used): Corey Palmer.