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I’m like 50-50 for adjusting my 2013 shimano 105 set, including cable replacement, barrel adjusting and some limit screw bullshit.

Anything more complex is witchcraft

I mean I'm far from having vegan butter alternative smooth shifting on any of my bikes and I'm not going to write up a guide here as the minutiae are specific to whatever you have but what really helped me on this is actually understanding how a derailleur works and what the different adjustments actually do. I'm going to assume the derailleurs are installed correctly for this:

For the Front, it's basically a cage around your chain that shoves it sideways so it can drop down or climb to the next cog. There's usually an L screw and a H screw, all these do is set the allowed range of motion that cage can move so you dont drop your chain.

The rest is just a question of cable tension, as that is what pulls or lets out the derailleur cage.

For the rear, it's an arm that changes position based on cable tension, both left and right and up and down to accomodate the different sized cogs. There's the L screw and the H screw that do the same as the front and then there's the B Screw that regulates the height of the derailleur arm compared to your cogs. The rest is, again, cable tensioning.

Knowing this, look up a guide for your specific shifter brand and then use a methodical approach to it instead of just fucking with it like I have wasted many hours on in my life. Shift to the smallest gear, adjust the L Screw (and B-Screw if it's the back). Shift to the highest gear and adjust the H screw.

Once this is done, tinker with the cable tensioning until it feels good.