I really like what this mod is starting to become. I have a few ideas for mod compatibilities that would fit in nicely:

Mod Name - compatibility option

Brick Furnace - Allow it to be made in the flint crafting table

Ceramic Shears - Allow it to be made in the flint crafting table

Natural Progression - fits in really nicely with your mod except it disables the Stone Hammer when “disable stone tools” is activated in its config. Also, just any general compatibility you can think of since it also has flint and bone tools (albeit not as much as yours). Perhaps allow the flint hatchet and the saws to be tagged as ages api axes?

Biomes O Plenty - tree stump chopping recipes

Better Animals Plus - already adds deer that drops antlers and venison, as well as boars (which drop pork and leather and are hostile mobs)

Also, maybe add a clay bucket that needs to be fired before it is usable, and don’t allow it to hold lava

I realized this could all be accomplished through datapacks after posting. But yeah, the bucket is a good one that would fit with the mod, and it could be made out of clay and then fired to make a ceramic bucket. I say no lava in it though because the lava would just melt it.

By the way, “Mod Name - compatibility option” was not intended to be an actual mod, I was just making a note of the format for the mod list below it, like

“Mod Name = Brick Furnace” - “Compatibility option = Add a flint table recipe”

Your proposals are more likely for modpack makers, not for this mod. Missing recipes can be created/changed with resource files

Mod Name - there is really nothing to do there, this mod just read modID and use that for display
Brick Furnace - same, if you want to craft brick furnace in flint workbench, then create new json recipe for that.
Ceramic Shears - same
Natural Progression - same, there are already tags that can be extended in /data/ages_api/tags/items/[axes.json,bones.json ...]
Biomes'o'Plenty - same, add recipes as you like
Better Animals Plus - same, just modify loot_tables, also each animal can be disabled in config

I dont mind to create bucket for transporting lava in stone age, most probably in another sequel mod

Transporting lava is not planned in Stone Age, closing as other things should be done by datapack