The following is an excellent instruction which tells you how to pollen orchid with beautifull pictures:
http://www.rv-orchidworks.com/orchid...tructures.html
I do exactly the same and got orchid pods every time. In your case, you take the pollen from yellow flower and put it into stigma of red flower. Try the other way, take pollen of red and insert into stigma of yellow. The next few days the stigma will be swollen if its' good. If it's not the flower will fall down. That's it. Just wait and see. In general, den. takes about a year to be a rippening pod. About 9 months pods could be used for green pod sowing or you can wait for pods to be full rippen then sow them. You can sow seeds your self or send them to a lab. If everthing is going well you will have thousand of seedlings. It takes about 3-5 years for seedling to be old enough for blooming.
Forget to tell you the most important when polinating: ENJOY THE BLOOMING; when you see the first flowers will fall, pollen them. You will get flowers next time. Good luck.