Beginning from the baptism of John, unto that same day that he was taken up from us, must one be ordained to be a witness with us of his resurrection.
Your version omits the ordination part.
Must one be ordained. It is fit or proper that one should be ordained. The reason of this was, that Jesus had originally chosen the number twelve for this work, and as one of them had fallen, it was proper that the breach should be filled by some person equally qualified for the office, The reason why it was proper that he should be taken from the seventy disciples was, that they had been particularly distinguished by Jesus himself, and commanded to preach, and endowed with various powers, and had been witnesses of most of his public life, Luke 10:1-16. The word ordained, with us, has a fixed and definite meaning. It denotes to set apart to a sacred office with the proper form and solemnities, commonly by the imposition of hands. But this is not, of necessity, the meaning of this passage. The Greek word usually denoting ordination is not used here. The expression is, literally, must one be, or become--\~genesyai\~--a witness with us of his resurrection." The expression does not imply that he must be set apart in any particular manner, but simply that one should be designated, or appointed for this specific purpose, to be a witness of the resurrection of Christ.
So it looks to me like putting 'ordained' in is a loose translation - not entirely wrong, perhaps, but not fully justified by the Greek text. I used the ESV, which is in agreement with the usually very literal NASB, and Young's Literal Translation.
BTW - I don’t know Greek, so I have to rely on what I read on the subject.