A related discussion, Thyroglobulin was started.
Liothyronine is T3. You probably were on a high dose (25mcg 2-3x/day) in preparation for thyroid cancer scanning -- this is too much for most people long-term. It is not a weight loss drug, but anything that causes high thyroid levels (graves, hot nodules, too much medication, etc) can cause this type of weight loss. It is possible to combine some T3 with the T4 (Eutroxsig in your case) for maintenance replacement. The usual dose is 5mcg 1-2x/day.