The OU has (at least) two specific problems with Triangle-K:
1- While halakhah has no minimum bound (shiur) for how often an establishment must be spot-checked (yotzei venichnas = someone who goes and comes), Triangle-K does so far less often than does the OU.
The OU had multiple incidents where staff made it clear that until then theythe OU took over inspection, the staff never expected an inspectiona Triangle-K employee to stop by, and didn't particularly worry about someone coming by just as they were doing something wrong.
2- Rabbi Ralbag holds that factory equipment self-kashers by doing a run. So, he allows doing a run of non-kosher product, and rather than stopping everything for a full cleaning and kashering, he would do a run of kosher product -- to be wasted or more likely sold as non-kosher. Then the second batch onward of kosher product would be sold as kosher.
(I have a feeling this is the bit about non-kosher and kosher animal fats mentioned in Yishai's answer.)
I also heard about his allowing pasteurized grape juice, but only through the rumor mill. The above two are from a rabbinic supervisor within the OU.