What you have there is the default button showing in the details page. That part was added automatically when you allowed it for the quota.
If you want to put it in a custom location, you can add it to the template your after with the code from this page:
"{jrLike_button}"
https://www.jamroom.net/the-jamroom-network/documentation/modules/1722/like-it
The code your after is probably:
{jrLike_button module="jrAudio" item=$item action="like"}
and you'll want to put that in item_detail.tpl of the audio module, so via acp its:
ACP -> MEDIA -> AUDIO -> TEMPLATES -> item_detail.tpl
Put it in somewhere above "jraudio_detail_player_right" by the looks of the screenshot.
--edit--
actually try looking for this:
<div style="text-align:left;padding-left:6px">
<span class="info">{jrCore_lang module="jrAudio" id="31" default="album"}:
and squeeze it in there:
<div style="text-align:left;padding-left:6px">
<div style="float:right">{jrLike_button module="jrAudio" item=$item action="like"}</div>
<span class="info">{jrCore_lang module="jrAudio" id="31" default="album"}:
