I am not an accountant. If you need advice around capital gains matters, I strongly recommend that you speak to one.
That said, there are rules around "arm's length" transactions. If you can show that the party you transferred shares to is not related to you in any way (business party, family member, friend, etc.), there's a reasonable chance the ATO will accept whatever you transferred them for as the CGT disposal price. However, if the consideration for the transfer is significantly out of line with market value, the ATO is likely to deem the transfer to have taken place at market value. I can't imagine that the impending takeover offer would make any difference to that.
ACX Price at posting:
$7.70 Sentiment: Hold Disclosure: Held