Hey if medical issues have been ruled out the best way to encourage sleeping through is to ensure the sleep environment remains consistent. Don't use an side to get bub to sleep (music/boob/dummy/patting/rocking) if that aide won't be there consistently through the night. Otherwise bub will stir between sleep cycles and think "wtf! Where is my boob/bottle/dummy!."
Can you amend your bedtime routine so bub is following eat/play/sleep more? Having at least 20 mins active play before bed is one of the best wags to encourage bub to sleep through.