The striker, 20, arrived at Gigg Lane on an emergency loan on Friday before coming off the bench to score during the team's 2-0 win over Hartlepool.
Rose, who spent the end of last season with the Shakers, has now joined David Flitcroft's for an undisclosed fee.
Bury continue their league campaign on Tuesday when they travel to Luton Town.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Birmingham CityBirmingham | 9 | 7 | 1 | 1 | 17 | 9 | 8 | 22 |
| 2 | Wrexham | 10 | 6 | 2 | 2 | 18 | 8 | 10 | 20 |
| 3 | Mansfield TownMansfield | 9 | 6 | 2 | 1 | 17 | 11 | 6 | 20 |
| 4 | Lincoln CityLincoln | 9 | 5 | 3 | 1 | 15 | 8 | 7 | 18 |
| 5 | Wycombe WanderersWycombe | 9 | 5 | 2 | 2 | 17 | 13 | 4 | 17 |
| 6 | Stockport CountyStockport | 9 | 4 | 4 | 1 | 13 | 7 | 6 | 16 |
| 7 | Exeter CityExeter | 9 | 5 | 1 | 3 | 10 | 6 | 4 | 16 |
| 8 | Charlton AthleticCharlton | 10 | 5 | 1 | 4 | 10 | 9 | 1 | 16 |
| 9 | Huddersfield TownHuddersfield | 10 | 5 | 0 | 5 | 14 | 11 | 3 | 15 |
| 10 | Blackpool | 10 | 4 | 3 | 3 | 17 | 16 | 1 | 15 |
| 11 | Barnsley | 10 | 4 | 3 | 3 | 15 | 15 | 0 | 15 |
| 12 | Stevenage | 10 | 4 | 2 | 4 | 8 | 7 | 1 | 14 |
| 13 | Bolton WanderersBolton | 9 | 4 | 2 | 3 | 15 | 15 | 0 | 14 |
| 14 | Peterborough UnitedPeterborough | 10 | 4 | 2 | 4 | 16 | 18 | -2 | 14 |
| 15 | Wigan AthleticWigan | 10 | 3 | 4 | 3 | 9 | 5 | 4 | 13 |
| 16 | Reading | 9 | 4 | 1 | 4 | 13 | 14 | -1 | 13 |
| 17 | Rotherham UnitedRotherham | 10 | 3 | 4 | 3 | 9 | 11 | -2 | 13 |
| 18 | Bristol Rovers | 10 | 4 | 1 | 5 | 13 | 16 | -3 | 13 |
| 19 | Leyton Orient | 10 | 2 | 2 | 6 | 10 | 14 | -4 | 8 |
| 20 | Northampton TownNorthampton | 9 | 2 | 2 | 5 | 11 | 17 | -6 | 8 |
| 21 | Crawley TownCrawley | 9 | 2 | 1 | 6 | 5 | 13 | -8 | 7 |
| 22 | Shrewsbury TownShrewsbury | 10 | 1 | 2 | 7 | 8 | 17 | -9 | 5 |
| 23 | Burton Albion | 9 | 0 | 4 | 5 | 10 | 19 | -9 | 4 |
| 24 | Cambridge UnitedCambridge | 9 | 0 | 1 | 8 | 6 | 17 | -11 | 1 |
| > League One Full Table | |||||||||
