She did not need to own up to her faults.

My sister didn't own up to breaking the lamp. Instead, she made up some story about aliens coming to Earth with the objective of destroying every piece of yellow furniture.

The president applauded our efforts and challenged us to own up to our past.

She would never own up to a mistake.

Would the person who pranged into the back of my car please own up?

If there's a cabal orchestrating everything in this world, it's no wonder they're embarrassed to own up to it.