Here's how you can respectfully and professionally give feedback to your superiors.

Before you approach a superior with feedback, prepare. You might have worked with this person for a long time but try to think of how they may take the feedback, put yourself in different scenarios and prepare answers and statements, you might even right few pointers down.

Helps if you can frame it or approach it in a way that makes the person feel like they came up with it or took notice of it themself. Ofcourse, same strategy doesn't apply to feedback where you actually want to be credited for your contribution.

Respect goes a long way. It's when you show respect that your ideas will be taken into account, you might start a conversation this way" I am honoured to be under your supervision...." then state your inputs. Remember to keep a similar tone.

By employing the Radical Candor strategy of caring personally but challenging directly it fosters a collaboration between parties. It is not you versus them. It is both of you versus the problem. By demonstrating empathy and employing a strategy that focuses on problem solving it removes much of the negative emotion from the situation and makes having those tough conversations easier. There are easily accessible frameworks around this method but the main focus is not to belittle or badger the team member. Rather it is to highlight an issue and problem solve together.

I think this is important for all feedback, whether to seniors, peers or team members. Everyone needs to provide respectful feedback. Using the I is important as a lot of feedback can also be subjective. Doing this will allow alternative approaches to be accepted or modified or even rejected so it isn't a personal attack, but related to authentic perspective.

The follow up is as important as the discussion itself. If you go in with the mindset of problem solving together you should leave the discussion with a sense of what the next steps should be. This will easily allow you to touch base on progress as the action steps are already outlined.