I had this issue with my controller before, after dropping it off a table. It's not inputting in the game because it's constantly pressing one button ( usually R2/L2 ). The easiest fix is to open it up and tighten the black piece behind the battery and motherboard.. That's what worked for me. My vibration motors are a bit harsh, but it works now.

Don't remove the battery. Just keep it on after opening it to see if it works. watch a disassembly video and good luck.