The first one looks like it is a wood texture with some contrast lightened on the lines and then a red color mask possibly red gradient mask put on top. Shouldn't take more than a few minutes to make.
The second one is probably made in illustrator. Possibly traced from a piece of wood or just randomly made with the pen tool. For the colored part at the top it would then probably be brought as individual layers into photoshop to add the shadow and subtle noise texture to it.
To do in illustrator aside from just going at it freely or tracing wood, you could also make it by drawing a curve. Then drawing a smaller curve / oval. And using the blend tool. Then mix it up with other shapes and fine-tuning. Offsetting is also your friend.