Using your example, here's how:
<circle id="test" fill="#ED1C24" cx="96.881" cy="91.953" r="26.485"/>
<animate id="testies" attributeName="fill" from="#ED1C24" to="#fff"
xlink:href="#test" dur="2s" fill="freeze" />
<animate attributeName="fill" from="" to="#ED1C24" xlink:href="#test"
begin="testies.end" dur="2s" fill="freeze" />
or as an equivalent alternative without syntax xlink:href:
<circle id="test" fill="#ED1C24" cx="96.881" cy="91.953" r="26.485">
<animate id="testies" attributeName="fill" from="#ED1C24" to="#fff"
dur="2s" fill="freeze" />
<animate attributeName="fill" from="" to="#ED1C24"
begin="testies.end" dur="2s" fill="freeze" />
</circle>
So, just add the identifier of the element from which you want to start another animation, and add the suffix ".end". You can also specify ".begin" to start at the beginning of the animation or add a temporary offset, for example begin="someId.end+2s".
, : id, , , , . . , SVG 1.1 ( " " ).
, . begin .