routine help!! acne/damaged skin barrier?

i recently had a few products break me out (particularly Cancer Council Body & Face and Hamilton Everyday Face) and i’ve been trying to calm the acne that keeps showing up. I keep getting tiny bumps every now and then and it’s not working too well!! I’m so sad so any advice is appreciated 🥲

i have combination skin with an oily t-zone and dry everywhere else

am/pm routine is the same: i use a prescription cleanser, illiyoon ato concentrate cream (i might need to change my moisturizer tho so pls give me any suggestions!!!!), and anua azelaic acid

would love moisturizer and sunscreen reccomendations in particular! thank you