Each Patch requires one request item that is the same for them all (so you can stock up!) and one item that drops from the homestead, mainly in small quantities.
They also all give different rewards when used, so that's tactical as well.
So, have a read below, we'll explain when you get each patch, what they need to build and what sort of thing you might get! Please note the actual full list of rewards is larger, this is a selection of what you might get.
Faded Patches
Available from the start
Faded Pink Patch
2 Light Pink Dye (Bull Thistle) and 2 Patch Backing
Possible Rewards: Pink Mystery Animals, Pink crops such as Lillies and Orchids
Faded Yellow Patch
2 Yellow Dye (Oats) and 2 Patch Backing (Request)
Possible Rewards: Yellow Mystery Animals and Yellow Crops.
Faded Purple Patch
2 Violet Dye (Passion Flowers) and 2 Patch Backing (Request)
Possible Rewards: Purple Mystery Animals, Purple Crops, Maypole Donuts
Solid Patches
Available on completion of Mission One
Solid Blue Patch
3 Mountainberry Dye (Mountain Blueberries) and 2 Patch Backing (Request)
Possible Rewards: Blue Mystery Animals or blue Crops
Solid Green Patch
3 Green Dye (Cabbage) and 2 Patch Backing (Request)
Possible Rewards: Green Mystery Animals, green crops and crop boosts
Solid Red Patch
3 Red Dye (Red Huckleberry) and 2 Patch Backing (Request)
Possible Rewards: Red Mystery Animals and red crops.
Design Patches
Available after completing Mission Two
Flannel Patch
3 Flannel Pattern (Frontier Flowers and Gardener Sheep) and 3 Patch Backing (Request)
Possible Rewards: Quilt Patches of any type
Windmill Patch
3 Windmill Patterns (Sleeping Sheep) and 3 Patch Backing (Request)
Consumables for features such as Prize Animal feed, Explorin' Binoculars and Fishing Bait
Heart Patch
3 Heart Patterns (Non Sapling Pole Pines) and 3 Patch Backing (Request)
Possible Rewards: Premium Decorations
Special Patches
Available after completing Mission Three
Lumber Tree Patch
3 Tree Patterns (Non Sapling Pine, Thorns, Rocks) and 4 Patch Backing (Request)
Possible Rewards: Skulls, Fully Grown Trees, Lumber Tree Tonic
Fruit Tree Patch
3 Orchard Patterns (White Peach Trees and Fig Trees) and 4 Patch Backing (Request)
Possible Rewards: Special Fruit Trees and Water
Consumable Patch
3 Jug Patterns (Bamboo) and 4 Patch Backing (Request)
Possible Rewards: Book Boosts, Boost Drinks, Standard Boosts
Sheep Patch
3 Sheep Patterns (Weighed Prize Sheep and Adult Standard) and 4 Patch Backing (Request)
Possible Rewards: Sheep Shampoo, Mystery Animal Sheep, Premium Prize Sheep
Pig Patch
3 Pig Pattern (Weighed in Prize Pigs and Adult Standard) and 4 Patch Backing (Request)
Possible Rewards: Special Mystery Pigs and Premium Prize Pigs
Cow Patch
3 Cow Pattern (Imported Copper Cows, Angus Cows, Adult Standard) and 4 Patch Backing (Request)
Possible Rewards: Special Mystery Cows, Cow Boosts
Mystery Patch
Available after Completing Mission Four
7 Mystery Patterns (Silk Crops and Sleeping Cows) and 6 Patch Backing (Request)
Possible Rewards: Mystery Crates