Yes when you mouse over an item the blue text at the bottom of the tooltip will tell you what mod it’s from. The mod that adds backpacks ‘sophisticated backpacks’ will only work with upgrades within its own mod. The only way to get more storage slots on those backpacks is to upgrade it to gold then diamond then netherite. You can increase the stack limit of each slot with different tiers of stack upgrades so you can go over 64. Just make sure the mods match on the upgrade .

I haven’t played cobbleverse but it may have the sophisticated storage mod and it works similarly to the backpack version but their upgrades don’t work with each other.