1) A warrior who has survived all sorts of auditions.
2) An exceptional man who has gone through every single audition.
1) & 2) "ありとあらゆるオーディションを勝ち抜いてきたツワモノ" という意味です.
1) A warrior (ツワモノ) who has survived (を勝ち抜いてきた) all sorts of auditions (各種のオーディション).
2) An exceptional man (ツワモノ) who has gone through (を通り抜いてきた) every single audition (ありとあらゆるオーディション.