Keith Bertschins side, as they did against Sunderland Reserves last week, sailed into a two goal lead at Ewood Park with goals from Njazi Kuqi and Neil Kilkenny.
However, Glyn Hodges' side fought back with a brace from striker Jemal Johnson.
Defender Marcos Painter then gave Blues a 3-2 lead only for Rovers to equalise again through Jonathon Douglas.
The 3-3 result left Rovers top of the Barclays Premier Reserves League (north) table, with Blues in second spot on goal difference.
Rovers: Enckelman, Barr, Gray, Douglas, Harkins, Nolan, Sakali, Flitcroft, Johnson, Garner, Byrom. Subs: Treacy, Drench, Stopforth, Rowntree, Welch.
Blues: Doyle, Cottrill, Alsop, Painter, Davies, Howland, Wright, Kilkenny, Till, Kuqi, Birley. Subs: Legzdins, Blake, Oji, Howell, Mark Hall.
Blues: Doyle, Cottrill, Alsop, Painter, Davies, Howland, Wright, Kilkenny, Till, Kuqi, Birley. Subs: Legzdins, Blake, Oji, Howell, Mark Hall.