verb (barbecues, barbecuing, barbecued)[with object]
mid 17th century: from Spanish barbacoa, perhaps from Arawak barbacoa 'wooden frame on posts'. The original sense was 'wooden framework for sleeping on, or for storing meat or fish to be dried'
There is an e after the second b in barbecue; the ending is -cue.
Drop the final silent -e when adding -ing or -ed: (barbecues, barbecuing, barbecued).