They don't need to require power or liquids. You can balance them in other ways.
If somebody who's heavily OCD wants a logical explanation to how all these machines work I will provide one.
Manual squeezer
You believe mashing vines and cocoa beans into a living syrup-like paste is a good idea.
Mashing time: 1 minute
Completely manual. Requires clicking on each side of the machine once per two seconds. If extra effort is put in (the sides are all clicked twice in two seconds) it will be wasted.
Automatic squeezer
An upgrade to the manual squeezer, the vines evolve and grow to power the machine.
Mashing time: 2 minutes
Completely automatic. If each side is clicked once per two seconds, it'll boost the processing time down to 1 minute.
Electrical squeezer
Because electricity and organics mix well. If you use electricity to power the machine, the internal vine structure can focus on more important things, like mashing things faster.
Mashing time: 45 seconds
Completely automatic. Attempting to help it along will shock you, if the machine is powered. If the machine is unpowered, it'll work just like the manual squeezer. Requires EU, MJ, or UE.
Voodoo squeezer
Maybe if you surround the machine with glowing stuff and chant it'll make the vines work faster.
Mashing time: 1 minute
Completely automatic. Attempting to help it along will give you a random buff/debuff, not including instant damage or instant health.
Pump squeezer
Maybe you can use hydraulics to smash things in bigger bunches.
Mashing time: 2 minutes, 30 seconds
Completely automatic. It'll work faster if a hot liquid is put into it rather than a cold one. Mashes two items at once.
Gravity squeezer
Usually, throwing heavy objects at things to make them work faster doesn't help. But it works on this machine!
Mashing time: 5 minutes
By dropping a falling block (sand, gravel) onto the huge plate above this machine, it'll reduce the mashing time by 5 seconds. If a player jumps on it, it'll reduce the mashing time by 1. If another player jumps on it, it'll reduce the mashing time by 2, and if another player jumps on it, it'll reduce the mashing time by 4. This continues on to 8 players, where it'll break the machine from a weight overload. Falling items reduce the mashing time by 1. Works like a manual squeezer otherwise.
Explosive compression squeezer
Maybe if we put bombs in there and blast the plates into the vines...
Mashing time: null
Depending on the strength of the explosive put in, it'll mash a certain number of items. TNT mashes two items, ITNT mashes one item, nukes mash a stack of items, GregTech machines mash 16 items, dynamite mashes one item, and ICBM bombs mash 2 items per tier. Example being tier 1 mashing two items, tier 2 mashing four items, tier 3 mashing eight items, and tier four mashing sixteen items. Has a chance to explode depending on the amount of items able to be mashed by a certain explosive. Example being TNT having a 0.2% chance to explode, ITNT having a 0.1% chance to explode, and a nuke having a 6.4% chance to explode. GregTech machines have a 12.8% chance to explode regardless of the amount of items that they can mash.
Acidic reconstruction reorganizational squeezer
By slicing off the extra unnecessary bits, we can fit things together in a more effective way.
Mashing time: 4 minutes
Completely automatic. Requires an acidic or hot liquid. For two minutes, the liquid drips around the sides of the item being mashed, lowering their volume, allowing them to be fit closer together. By using hot liquids over acidic liquids, there's a chance for the entire item to go up in flames. By using acidic liquids over hot liquids, there's a chance for the acid to drip out of the machine and onto the floor. Can use sliced-off bits to form an extra bonus item for mashing. Once the items are done being compacted, it works just like an automatic squeezer.
Dehydration centrifugal reorganizational squeezer
Maybe we can dry them so they get compact before we squeeze them.
Mashing time: 3-5 minutes depending on biome
Completely automatic. Dries two items so they shrink and then mashes them. Works faster in hot/dry biomes, works slower in cold/moist biomes. Requires EU, MJ, or UE.
Collection anti-containment eternality squeezer
Let's just grow vines towards a slicer to get a steady income of vines to mash.
Mashing time: 30 minutes
Completely automatic. Giving bonemeal to the machine reduces the mashing time to 20 minutes. Requires EU, MJ, or UE.