Rabbi Moshe Feinstein [ZTL ZYA] was accepted as the highest posek by BOTH the Chareidi Yeshivah World AND the Modern Orthodox.
So far as I know, he was the last Rabbi to hold that distinction.
This demonstrates how much the situation has deteriorated since his death in 1986 CE.
Additionally, it is dangerous to say:
“Bridging the Gap Between The Torah World and MO”,
because it could cause the Modern Orthodox to believe they are NOT part of “The Torah World”.
That is much more likely to push them farther away from Torah, than it is to draw them nearer.
Rabbi Moshe Feinstein [ZTL ZYA] once said that it is very important that EVERY JEW consider himself to be Orthodox, regardless of his level of mitzvah-observance.