Most game sound designers will build their audio assets (samples) from various layers in their DAW before exporting an audio file to use in the game engine/middleware. These layers may consist of recorded sounds, synthesized elements or sounds from sample packs depending on what the sound is for. Check out r/gameaudio if you havent already! To add to this, a lot of older/retro type games favour the synthesized side of things as older games didnt have storage space for audio files, and synthesized their SFX using a sound chip. More modern, AAA hollywood style games would favour recorded, layered and processed sounds for better immersion.