Just guessing based on your query, and assuming the above query works, just insert a "where" condition. I also removed the SUM function. Also, "AND otherpay.othpaymoiid IS NULL" may not be needed.
SELECT moiid, trim(concat(name.fname,' ' ,name.mname,' ',name.lname)) as Brother, name.moiid as Members_ID, otherpay.othpayamt, quadlt.ltfname as quad
FROM name
LEFT JOIN OTHERPAY ON name.moiid = otherpay.othpaymoiid
LEFT JOIN quadlt ON name.quadlt = quadlt.ltid
WHERE Otherpay.othpaytitle like '%food drive%'
AND otherpay.othpaymoiid IS NULL
AND name.type = 'BOI'
AND name.type <> 'jrboi'
AND name.city = 'SUFFOLK'
WHERE othpayamt=0
ORDER BY name.quadlt, brother