I'm sorry if I seem incompetent, but is the question asking 'if any of the Oriental Orthodox Churches catechize and baptize converts?'
The Ethiopian/Eritrean Orthodox Tewahido Church [supposedly] catechize and baptize anyone who desires initiation to our, the EOTC. I say 'supposedly' catechize, because I know situations in which a bishop accepted a 'quick' confession of belief [unfortunately] of candidates and baptized them, along with the administering of Chrismation and Holy Communion, of course.
I think that I can speak on behalf of the Coptic Church also, because a friend of mine was previously Eastern Orthodox, before being catechized and baptized into the Coptic Orthodox Church at the hand of one Its Bishops. Also, most of the EOTC traditions come from the Church of Alexandria (the Coptic Orthodox Church).
Thanks and I'm sorry if I caused any confusion.