The Oncidium hybrid might be Oncostele Wildcat 'Bobcat' or a hybrid there of. There is a least one other "red clone" of Wildcat whose name escapes me at the moment.
As far as the Zygo goes, I am leaning towards Zygopabstia. I can not find a close enough match.
Both orchids are demanding of cooler temperatures and loads of water. Dappled sunlight is best.
If these are put outside in Texas weather, they will probably die due to Texas warmth. The Zygo grows cooler than the Oncostele. 58-75 is the preferred temperature range for Bobcat. If grown too warm, the plant will go steadily downhill.
The Zygo grows best at 52-72.
Keeping inside of a cache pot without drainage holes can effect the normal drying rate of the media. Oncidiums like to be watered maybe every three days, then dry quickly, then watered again! That cache pot throws the wet dry cycle out of whack!!
Media seems a bit too coarse. Seedling bark/charcoal/perlite is best. As small of a pot as possible.
Minor shriveling of the big pseudobulb tells you that it is not getting quite enough water.
How about light? 1-2 hours of morning sun is a good idea.
Oncidiums do not hold on to those smaller side leaves or leafy bracts for very long. New pseudobulbs typically hold leaves 12-18 months. That is normal. They never get to become large leafy/lush plants. They just don't do that.
They have very fine, water loving roots, that dry out quickly. They hate to sit damp or too wet.
