If you use the logo, you can print the body with black and the logo with white so that it looks very similar to the original lens cap.
Print all three Parts seperatly. Then glue them together in the middle.
I made two lens caps for my Olympus lenses. If you need other sizes, you can scale them to the right size.
45mm Lens f 1.8 - 37mm Lens Cap
75mm Lens f 1.8 - 58mm Lens Cap
The logo is not mine, I created a vector file from the original logo.
The author hasn't provided the model origin yet.