Crafting Framework uses the vanilla legendary slot as an entry point for its mechanics and functionality. Because of that, the mod is able to modify all kind of equipment without requiring patches for other mods or Creation Club content. But that also means that you shouldn't use Crafting Framework in combination with other legendary crafting/overhaul mods like Legendary Modification, VIS-G Legendary Modification, Love to Craft - Legendary, etc. They modify the same records. There should be no reason to use them simultaneously because all of their features are already included in Crafting Framework, anyway.
When it comes to mods which just add some new and custom legendary effect you can use them. They just won't add Crafting Framework's additional slots and menus. A patch would be required to enable these features on those effects. Make me aware of those mods and I'll consider creating one. Alternatively, you can do it yourself:
Guide: Adding Crafting Framework support to custom legendary effects

In case something seems broken just load CraftingFramework.esp at the bottom of your load order. If that fixes your issue you're using another mod which conflicts with Crafting Framework.

• Armor and Clothing Overhaul: If you want to use CF's functionality with clothing but don't want to use Armorsmith Extended or Unified Clothing Overhaul (UCO) check this out. It's lightweight but features a lot of the functionality of the mods mentioned before.
• Global Stash: For your storage and junk scrapping needs. It automatically connects to CF's workbenches (even the mobile ones) and also allows you to scrap junk automatically.
• Ruddy88's Simple Sorter: If you don't like VIS or VIS-G I can highly recommend this one. It automatically generates a single plugin for your entire order. You'll no longer need to create or download patches for your other mods.
• Quick Gun Modification: Modify various properties of your guns on the fly without having to use a workbench. Especially useful in combat situations. Works with vanilla and mod-added weapons. Modular and easily expandable.
  

• Armorsmith Extended: Load CF after AE.
• Better Mod Descriptions / Even Better Mod Descriptions: Load CF after them because CF's descriptions are more up-to-date and detailed.
• Custom Legendary Modifications (CLM): Patch on the download page.
• Item Sorting Mods (VIS, VIS-G, etc.): Sorting tags are included in CF, therefore load CF after any sorting mod you've installed.
• Legendary Mod Additions: Patch on the download page.
• More Power Armour Mods (More Power Armor Mods): If you use CF and MPAM simultaneously you'll have three Misc slots available but there aren't any conflicts.
• Power Armor Materials AND Paints (PAMAP): If you use CF and PAMAP simultaneously you'll have three Material slots available but there aren't any conflicts.
• Service Rifle: 3 of the 6 uniques rifles feature a custom legendary effect which would require a patch to make it work with CF. The easiest and most elegant way of fixing this issue is by using this mod.
• The Legendary Overhaul (TLO): Patch on the download page.
• Unified Clothing Overhaul (UCO): Patch on the download page.
• VAFS - VaultTec Accelerated Focus System: Load CF after VAFS.
• VUWR - Vanilla Unique Weapons Remastered: Patch on the download page.
  

• Legendary Modifier Rebalance: Incompatible. More Information