Rubber bands are what makes the tabs “springy”. I had that same problem for the last few months, finally got tired of it and started disassembling the center console. My suggestion:
1) order replacement bands first (if you can find them) or a whole new cup-holder assembly.
2) plan to do the job over a weekend
3) start early on a saturday
Access to this cup holder is amazingly tough. Half of your car will be in pieces. You will be taking the armrest/storage cubby/phone module out, both sides of the carpet & trim have to come completely off the center console, the iDrive controller and shifter come out, before you can ever get to the cup holder.
Sorry for the bad news. I started into it, thinking “it can’t be that bad”. It’s that bad. But you’ll be happy you did it after 😃 No more spilling drinks! I just put regular rubber bands back on mine, didn’t even bother trying to order the fancy silicone rubber band. Works great!