I'm amused that you do the mapping in the sort block, instead of properly computing the value once. Perhaps you meant:
use strict;
my %map = (
S => 0, M => 1, L => 2, Xl => 3
);
my @sorted =
map { $_->[0] }
sort {
$a->[1] <=> $b->[1] or
$a->[2] cmp $b->[2]
}
map { /^(\w+:\s+(\w+),\s+\w+:\s+(\w+))$/ ? [$1, $map{$2}, $3] : ()
+} <DATA>;
print join("\n", @sorted);
__DATA__
size: L, color: White
size: M, color: Orange
size: M, color: White
size: M, color: White
size: S, color: Orange
size: S, color: White
size: Xl, color: Orange
size: Xl, color: White
size: Xl, color: White
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