Rubuta ci gaba don wannan sakin layi - Don kakar 2011-12, Connacht ya cancanci zuwa gasar Heineken Cup, babbar gasar rugby ta Turai, a karo na farko, kuma abokin kulob din Muldoon na Galwegians da kuma dan wasan Ireland, Gavin Duffy, ya zama kyaftin din kungiyar. Farawar kakar wasa ta kuma ga an sake sunan Celtic League, ya zama Pro12. A kakar wasa ta farko ta Pro12
, Muldoon ya taka leda a kowane ɗayan wasanni 22 na Connacht, yana farawa duka amma biyu daga cikinsu. Muldoon ya buga wasan farko na Heineken Cup a ranar 11 ga Nuwamba, 2011, a kan Harlequins a cikin Stoop. Ya fara dukkan wasannin kungiyar guda shida ciki har da rashin nasarar da aka yi wa Gloucester da kuma nasarar da suka samu a kan Harlequins a wasan dawowa a Galway, wanda shine nasarar farko ta Connacht a gasar cin kofin Heineken.