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use strict;
use warnings;
...
my @parts = $string =~ m/(?:$RE{balanced}{-parens=>'()<>'}|[^,<(]+)+/g
+;

print Dumper(\@parts);

<*2>FOO<2,1>,<*3>(SigB<8:0:2>,BAR),<*2>Siga<2:0>,Sigb<8,7,6,5,0>
$VAR1 = [
...
          '<*2>Siga<2:0>',
          'Sigb<8,7,6,5,0>'
        ];