Throw twice.
Get two explosions.
What's your problem? As I understand it, your problem is that it wasn't "your" explosion. You need to change your attitude. It is as much "your" explosion as the guy who primed it, because by detonating, you contributed exactly 50% to said explosion.
If you can't realize this, you need to grow up.
IF you have Throw, then all's good. If you rely on something with a longer cooldown like Warp, then your biotic primer might no longer be active by the time you get to use it after the tech explosion detonated.
It's nothing to get upset about, but teamwork starts by taking the abilities of the other people on the team into account.
If the lobby is mostly biotic, then you don't use an AR with Disruptor Ammo, for example.
Biotic Explosions don't just do damage, they also have a force component, which is necessary for crowd control. Take that away and you actively sabotaged someone on your team.