Reiders' rhymes with:
breeders, breeders', reader's, readers, readers', reeders, reiders, rieders, rieders', birdfeeder's, birdfeeders, breeders, breeders', cedars, feeders, leader's, leaders, leaders', meaders, meadors, reader's, readers, readers', reeders, reiders, rieders, rieders', speeders
Reiders' sounds like:
radars, radiators, raider's, raiders, raiders', raters, rather's, reader's, readers, readers', reauthorize, redress, reeders, reiders, retiree's, retirees, retirees', retires, retrace, reuter's, reuters, reuters', reuters's, rhetoric, ridder's, rider's, riders, rieders, rieders', rioters, ritter's, roadwork, roderica, roderick, roderick's, rodrick, rodrigeuz, rodrigo, rodrigue, rodrigues, rodriguez, rodriguez's, rodriques, rodriquez, rooters, rothrock, rotors, rotruck, routers, ruder's, ryder's