The Cherries remain rooted to the bottom of League One following their 8th League defeat of the season.
A fine curled shot past Moss from O'Hara in the 33rd minute got the Lions off the mark against the Cherries. His strike was added to by fellow loanee Hoskins following a volley from Alexander, which Moss could only parry for Hoskins to slot home.
The Cherries rallied in the second perios, but could only muster a consolation through Lee Bradbury in the final few seconds of the game.
The result leaves the Cherries in 24th place, on just 8 points, some 4 points away from safety.
Next up for the Cherries is Walsall at Dean Court next Saturday when they will be looking for the first home League win of the season.
Full match report to follow ..............
AFCB: Moss, telfer, Gowling, Wilson, Pearce, Cooper, Anderton, Caracan, Hollands, Vokes, Bradbury
Subs: Stewart, Newman, Kuffour (on for Vokes, 56 mins), Lallana (on for Pearce, 62 mins), McQuoid (for Lallana, 85 mins)