From the screenshots you have (although no logs it would be nice to see one since they help) I'd say your Forge might need updating or the mods might not be compatible. I don't know if Painting mod is Forge 1.14.3 compatible but I know it is for Fabric. Check the mod requires for what modloader or core/library/api they use and update the modloader (Forge or Fabric) to the latest versions you can. Forge 1.14+ especially since it's a 1.13.2 port and needs support a lot since there is no recommended version for devs or players to use yet you'd better expect updating Forge constantly until they have a recommended.
For example Torch Bandolier requires Silent Lib which you don't seem to have in the mods folder. Otherwise I don't have much else to say other than what I've already said above. Check your mod requirements, update modloader versions and maybe just the version/profile and see what happens. Like create another profile with Forge 1.14.3 using a later version rather than 27.0.30 and see if it works.
The game will launch correctly, but the mods won't, I need an explanation and solution, badly.
Can you put more screenshot of game and will try to solve problem
From the screenshots you have (although no logs it would be nice to see one since they help) I'd say your Forge might need updating or the mods might not be compatible. I don't know if Painting mod is Forge 1.14.3 compatible but I know it is for Fabric. Check the mod requires for what modloader or core/library/api they use and update the modloader (Forge or Fabric) to the latest versions you can. Forge 1.14+ especially since it's a 1.13.2 port and needs support a lot since there is no recommended version for devs or players to use yet you'd better expect updating Forge constantly until they have a recommended.
For example Torch Bandolier requires Silent Lib which you don't seem to have in the mods folder. Otherwise I don't have much else to say other than what I've already said above. Check your mod requirements, update modloader versions and maybe just the version/profile and see what happens. Like create another profile with Forge 1.14.3 using a later version rather than 27.0.30 and see if it works.
Niche Community Content Finder, Youtuber, Modpack/Map Maker, Duck
Forum Thread Maintainer for APortingCore, Liteloader Download HUB, Asphodel Meadows, Fabric Project, Legacy Fabric/Cursed Fabric, Power API, Rift/Fabric/Forge 1.13 to 1.17.
Wikis I Maintain: https://modwiki.miraheze.org/wiki/User:SuntannedDuck2