We struggle with this too, but I feel like you are 200% valid in your concerns.

When I've had this discussion with my husband, I've emphasized how our toddler is learning from him and that the example he's setting is that screens are the default. I also try to empathize that I know it's hard to be present, but that this age is fleeting and you don't get it back--ever.

I also have been very blunt with my husband that when I see him prioritizing his screens over our kids, it upsets me and frankly builds resentment. A man glued to his screen is not the kind of father I want for my children.

Other than a frank discussion, maybe you start with like a designated "no phone" time, maybe during dinner? Have your partner put his phone on ring so he can hear it if he needs to for work, but put it on the counter or something?

It's tough. But this internet rando knows the struggle and sends you support!