Its the residual sugars that reach your small and large intestines. Your GI tract cannot absorb oligosaccharides through your gut epithelium and it leaves sugars for your natural flora to ferment, E coli, enterococcus etc. They create gas from the fermentation and it is your resposibility to "relieve the pressure" so-to-speak.
Force carbing or filtering will not affect the sugars so my guess is that you will still have gas the next day.
I am not sure how the remaining yeast would contribute to your gas. Maybe when the yeast cells reach your gastric acid in your stomach or your pancreatic juices in your duodenum they release gas. Other than that, I would assume any yeast remaining in suspension would be completely killed by your stomach pH.
-Jefe-
How would you explain the difference between home brew & commercial brew in regards to oligosaccharides? I don't see where either process would favor or reduce them more than the other. And the OP (as well as many others) note that it's the home brew causing them excess gas... not commercial.
The difference I see is the yeast. Commercial is usually filtered & almost always pastuerized. Homebrew almost always not.