How can I repair a drawer front?

Can it be flattened? Or is there that lump? Can’t really see how it affects the drawer, are there 2 or 1? If 2 do they line up? If they can be flattened, maybe glue ribbon trim, make an interesting pattern? If they are lumps, again glue something fun to decorate them,. Ok, I just thought of something... purchase decorative screen, make a simple frame to cover edges glue on. Something like photo but simpler frame.

Flatten, spackle, paint

maybe stencil a cool design

Use a paint brush with carpenters glue and paint as much as you can reach inside the piece that has lifted. Press down and wipe some of the excess glue with a wet rag. Lay the piece horizontal and place a piece of waxed paper on top of the glued area. Weigh it down with several bricks or a other heavy object. Let dry for a day or so. Wipe off excess glue that has seeped out and consider painting a similar but lighter or darker color from the bottom to just above the repair, or get a stencil and stencil a design to disguise the repair on the bottom to above the repair.

sand,chisel , make that part as smooth a possible then put another thin fascia

over it that covers all of the draw front

You can gently hammer that section down. Once it's flattened, or as close as you can get it, sand the area. If you still see a ridge, add some wood filler to the cracked areas. Let it dry. Sand it again. It should be smooth and a lot flatter, if not completely flat. You'll need to paint it. I do suggest painting the entire drawer front just so there is no issue with paint matching.

Cant really tell from your photos, but it looks like it was punched out from the other side creating a deep impression, if so push it back . if there is a hole fill it with spackle easy to use from any big box store. sand to smooth and match paint color.