Because VSR is only supported on RDNA cards, ie. RX 5000 series and newer.
Here's a setup guide for FSR3. Note that the RX 560 only supports FSR upscaling, not frame generation.
https://community.amd.com/t5/gaming-discussions/how-to-enable-amd-fsr-3-in-supported-games-with-opti...
If the game doesn't have a specific upscaling graphics option you can generally still use FSR by simply setting the game resolution to something lower than the monitor's native display resolution, then enable FSR in Adrenalin.
Ryzen R7 5700X | B550 Gaming X | 2x16GB G.Skill 3600 | Radeon RX 7900XT
Ryzen R7 5700G | B550 Gaming X | 2x8GB G.Skill 4000 | Radeon Vega 8 IGP
Ryzen R5 5600 | B550 Gaming Edge | 4x8GB G.Skill 3600 | Radeon RX 6800XT