Shakhtar were allowed one flicker of hope when Iniesta picked up a booking for encroachment that rules him out of the second leg and, when the free-kick was eventually taken, Rakitskiy beat a batch of Barca players to the ball and sent it past Valdes.
Mourinho received a warm welcome from the Chelsea supporters prior to kick-off in the second leg of the last 16 - his first competitive return to the club where he won two Premier League titles in three seasons before leaving in 2007.
McGuire restored the Rhinos' lead with a fortunate try as his attempted kick through bounced off a Castleford defender's leg and rolled invitingly for him to score.
Yardy pulled Doug Bollinger to deep square-leg, and Pietersen was run out by Mitchell Johnson's kick on to the stumps in the first over of the batting power-play.
Mladen Petric's vicious free kick had given Hamburg a half-time lead in the second leg at Craven Cottage, but Simon Davies and Zoltan Gera scored the two goals required to take Fulham though.
Although Raith were eventually eliminated 4-1 on aggregate, Lennon fired a 25-yard free-kick past the helpless Bayern goalkeeper Oliver Khan in the Olympic Stadium in the second leg.
United added to their first-leg lead through Ji-Sung Park after eight minutes before Cristiano Ronaldo scored with a 40-yard free-kick three minutes later to all but end Arsenal's challenge.