Adult Caddis Flies do look like lace wings and may flies, but they are not related to those groups. Actually they are close relatives of moths. Caddisflies and Moths have been sharing common ancestors in times long gone by. Caddis flies however do not have the typical moth tongue and their wings are covered in hairs instead of scales.
Limnephilus rhombicus is a more beautiful species. It does look like Limnephilus lunatus a lot. There is a striking difference, though. Limnephilus rhombicus does not have a half moon or black dots near the tip of the wings.