Cut 5 fabric scraps into 4.5" x 6.5" inch pieces. Each piece could be different or it could be in an alternating pattern like this.

Also, press the diaper.

Pin two adjacent pieces together.

Sew along the edges with a 1/4" seam.

Press the seams open.

Repeat with the rest of the pieces. Sew and press.

Press the long edges under 1/4".

Pin the fabric to the center of the diaper.

Fold under the ends of the fabric so that they are even with the ends of the diaper.

Zig zag the fabric to the diaper along all four edges. The center line of the foot should be lined up above where the diaper meets the fabric so that the zig zag evenly catches both the diaper and the fabric. On the ends, you have to zig zag entirely on the fabric but do so as close as you can to the edge.

Use a decorative or zig zag stitch to quilt the fabric seams.

Make a pack of these and fold the diapers in thirds both ways and stack them. Wrap a ribbon around them and they look very pretty when you give them to the lucky mommy.

Note: in this photo, I have a plain burp cloth on top. This was made from one piece of fabric instead of quilted like the tutorial. This is quicker but doesn't look as cute and requires bigger pieces of fabric too.

Alternative:

Here I used 2.5" x 6.5" inch pieces (nine total).

I also used a piece of black lace to cover the diaper/fabric seam instead of the zig zag (I took the photo before I sewed it down, sorry about the pins).