It's really hard to tell what's going on from your post. It feels like there is more happening.
Assuming someone isn't always flying into abusive rages (like my ex - so I know it could be the case), people usually throw things when they have a build up of frustration that needs to be released.
Can you just sit down and talk to each other?
I've experienced it before where I feel frustrated when DP does all of the meal planning and grocery shopping, because I feel like I have no control over what I put in my body. I've also experienced him telling me I'm too critical, because I will constantly point out little things and make suggestions 😂
It might be a case of you being more self-aware and acknowledging if you really do have controlling tendencies? I do! I can be a total control freak. I know this about myself and try to let things go. So maybe it's worth reflecting?
Either way, it also sounds like there is a lot of resentment between the two of you and that all the chores and drudgery is stripping the joy out of your lives together.
Instead of dividing chores, can you share them and make them more fun? Cook together and chat, play music, etc., instead of taking it in turns? Plan meals together for the week, or each do your own food shopping if you prefer to do different things?
Would you consider relationship therapy to work through things, if you're struggling to communicate with each other? The shopping / coconut milk / etc. is just a symptom of the problem, rather than the actual problem.