Index: taxonomy.php
===================================================================
--- taxonomy.php	(revision 15324)
+++ taxonomy.php	(working copy)
@@ -953,8 +953,10 @@
 		$where .= " AND t.slug = '$slug'";
 	}
 
-	if ( !empty($name__like) )
+	if ( !empty($name__like) ) {
+		$name__like = like_escape($name__like);
 		$where .= " AND t.name LIKE '{$name__like}%'";
+	}
 
 	if ( '' !== $parent ) {
 		$parent = (int) $parent;
@@ -976,7 +978,7 @@
 
 	if ( !empty($search) ) {
 		$search = like_escape($search);
-		$where .= " AND (t.name LIKE '%$search%')";
+		$where .= " AND ((t.name LIKE '%$search%') OR (t.slug LIKE '%$search%'))";
 	}
 
 	$selects = array();