Two different species of anemones never are suposed to be housed together...But if you can keep them seperated nothing will happen...WOuldnt recomend it though, because even though they arent too quick, they could sting each other while your away, ultimately resulting in death.
Yes you need to feed the condi, all anemones need food....Most of them need to be handfed as well as the usual supplemetns...
There are a lot fo different things you can feed, (silversides, frozen brine, krill, etc.)
Most of mine always seem to like silversides best. The frozen krill is popular too though.