Blu-Ray Authoring Software for Wedding Videos

Blu-ray Creator - Best Blu-ray Burning Software Free Download
Has a menu designer and supports almost every available video format, so it doesn't matter what video editor you use to export your completed videos.
Caveat: this appears to be a 

Adobe Encore CS6
Must be purchased with a creative cloud membership now (as part of Adobe Premiere) because the disc version of the software has not been available for over two years.
Many professional video editors use Encore as their go-to for DVD and Blu-Ray authoring, but it does have a learning curve if you're not familiar with Adobe applications.

Thankfully you can overcome this learning curve by watching a few Youtube videos to learn the interface:
Part 1 of 3: Blu-ray Authoring and Adobe Encore Basics - YouTube

Adobe Encore Basics 2: Creating Menus - Duration: 7:30
 

Sony DVD Architect Pro 6.0 (at B&H Photo Video)
Can author both DVDs and Blu-Rays
$150 
Doesn't appear to require any other software, as long as you can feed it your final edit exported from your video editor of choice.  This seems like it would be a comparable alternative to Adobe Encore.
"supports popular video and audio formats such as AVI, MPEG-1, MPEG-2, and AVCHD so you can make a DVD or Blu-ray disc that will play on almost any DVD/BD player or DVD/BD-capable computer."

DVD Architect - creating DVD Menus - YouTube

PowerProducer 6 | CyberLink
$80 (Ultra version that can author blu-rays).  On sale for $63.
A less expensive option that may not provide as many deep options as Sony's DVD Architect, but will get you burning discs at about half the price.  Supports many different common video formats:
AVI/ 3GPP (3g2, 3gp)/ VOB / FLV/ MOD/ MKV/ MPEG/ MPEG-2 Transport Stream(m2t, m2ts, mts, tod, tpd)/ MPEG-2 TV Recorded (trp, ts)/ MPEG-4 AVC (MOV)/ MPEG-4 Video (MP4)/ Video CD (DAT)/  VRO/ ASF/WMV/ Windows Media Center Recorded (dvr-ms, WTV)

* Can create video slideshows from your JPEG or RAW photos.

Tips for Blu-Ray authoring:

Use high-quality, reliable media. Getting the cheapest discs possible may actually cost you in the long run because their lifespan will be shorter and you'll have more discs that fail to burn, leaving you with a coaster.

Deciding on encoding format.  In your video editor, you can export either MPEG-2 for Blu-Ray or H.264 for Blu-Ray.  MPEG-2 can be used for videos that are one hour or less.  If your videos are longer, use the H.264 encoding options.

Authoring Blu-ray Discs | Videomaker.com