Sebum that doesn't decrease, is it because of moisturizer?

hello.
I am writing this post because I am concerned about sebum production that does not seem to go away even in dry weather like these days.

As the weather gets colder, my skin feels tight, so I'm applying more moisturizer than usual.
Rather, I feel like this is the cause and the shine and sebum are getting worse.

Even though I wash my face thoroughly and take care of it, my skin remains oily on the outside and dry on the inside, so I don't know how to manage it.

I'm wondering if the moisturizer I'm using right now is causing too much sebum, or if it's because my skin barrier is broken down.

I feel that home care alone has its limitations and would like to receive help.
Is there an effective treatment that can address both dryness and excess sebum?
I really want to find a solution that's right for my skin type.
I'll wait for your reply!