Only 3 items in the game can give you this effect:
Golden Apple
Enchanted Golden Apple
Totem of Undying
This sheet doesn't account for Totems (e.g. Mansion), and uses approximations for some of the structures' chest counts. The Gold is calculated using Blocks, Ingots and Nuggets in chest loot, as well as Blocks generating with the structure (so Golden Nautilus Armor is not counted).
Igloo basement isfairly well known: there will always be a Golden Apple in the chest. You can pie for sign and make sure that you aren't picking up a Taiga village.
Outer Stables Bastion chests have a higher chance to have Golden Apples than the generic bastion chests. These chests can only be in the "inner" sections of outer stables (i.e. closer to the middle). Stables has such a high chance for Absorption just because of how many chests it has on average; Bridge's chest count makes it quite unlikely you will get Absorption.
Ancient Cities can have a guaranteed Golden Apple in 1 of the 3 city centres. If you see this chest in the centre, it will 100% have a Golden Apple. Else, you can check other chests for an Enchanted Golden Apple.
RP chest is around 1 in 5 for Absorption, but you are also highly likely to get enough Gold to be able to craft one (see below), making it a very viable option.
1 Shipwreck into BT will give you 8 or more Gold 28.94% of the time, which makes ocean RP/Monument a safer option if you're wanting Gold. If you got 4+ gold from the Ship, on average you should get enough from the BT.
2 in 3 Desert Temples will have Absorption. Checking the Chests before mining and blowing up the TNT will be quickest for this goal, but you may lose tempo on the rest of the game.
Trial Chambers are difficult to quantify. I am still waiting on a Samulation before putting data in, but your chance for Absorption (aside from the reward chests) depends on your Trial Keys and Ominous Trial Keys, so it is quite dependant on how long you want to spend on it. Don't disregard TC for this goal just because I haven't finished, though!
You can craft a Golden Apple using 8 Gold and 1 Apple. If you can enter, Nether Gold Ore is quite an underrated source of Gold, and you can get the goal quite quickly this way (or from a Bastion depending on biomes). Otherwise, sourcing the gold from a structure (see the table above) or mining underground also works.
Evokers drop a Totem of Undying 100% of the time when killed. When you activate a Totem by dying while holding it in your main or off-hand, you will get Absorption.
Evokers spawn in Woodland Mansions if it has at least 1 of the following rooms. These rooms can only generate on the 2nd and 3rd floors of the Mansion. You can use your pie chart to see if you have an evoker before sending the Mansion for this goal. All of these rooms will also contain 2 vindicators.
Evokers can also spawn during Raids, but only if your difficulty when you trigger the Raid is Normal or Hard. The evoker will never spawn before Wave 5, meaning you need to beat the first 4 waves of the Raid before you can get a Totem. It's advised to trigger your Raid in Normal mode, since Wave 5 will be your last wave, and you will have fewer mobs to deal with in the other waves.