Many older babies need specific night time nappies to get through the night. The best solution is to use an highly absorbent nappy with a good quality wrap- a 'two-part nappy'. Some babies will be fine using all-in-one style nappies (with an extra booster) but some don't - a two-part nappy will perform much better.
Step 1: use a very absorbent nappy: Tots Bots Bamboozle Stretch, Easy Peasy Bimble, Maxi Night Nappy by Petit Lulu, Little Lamb Bamboo
Step 2: use a quality waterproof wrap eg. Motherease Airfow or Petit Lulu
Step 3: some babies may require an additional hemp or triple bamboo booster
Please note that most of these nappies will be slow drying so you may need to use a tumble dryer.