“I’m sorry you took it that way” rarely repairs much.
If you interrupted someone in a meeting, missed a commitment, or spoke more harshly than you intended, name what you did.
“I interrupted you before you finished. I’m sorry. I want to hear the point you were making.”
Then give the other person space to respond. Follow the apology with a change they can actually observe.
Repair is rarely completed in one conversation. Trust may take time to rebuild, and the other person gets to decide how they feel about what happened.
But a specific acknowledgment is a meaningful place to begin.
Is there a misstep you need to name without explaining it away?

