Ok... since the RC hobby is really as much DIY as it is of any premade kits... It's probably not a good idea to make any assumptions at all, allthough, a motor without any markings sort of sounds like it was included in some kit, but again, let's not assume here.
So in light of that... lets also mention there is no one type of Redbull airplane. In even the real fleet of aircraft that the actual Redbull racers use, they have used several. It's more of a paint scheme then than a specific type of aircraft.
On the motor you posted a pic of... we'd only be lucky if someone recognises it with so many makes/models that exist in the hobby.
Back to the motor... Look at the prop for markings also. These will indicate the size and pitch of the prop just for some added info to base any educated guesses we may make later.
I'm going to also suggest getting a pic of the airplane itself then... that may be slightly easier to recognise than the motor since if it was a kit, then pictures of it may exist to get a clue from. In short, if a kit can be recognised and specs found... then we may be able to find out what motor and ESC they used or recommended.
If nothing is found out that we can make a guess about the motor, ESC etc on... Once the model itself is repaired and you can get the weight and size info... then we can look at what may be approximate good replacements that could be used. At that point, the original motor would have to be set aside if we can't figure it out during this time and would hope that later you may stumble across the info so you could use it later on if needed for some other project or as a possible replacement once more info is known.