I don't think it's trying to regen if you're smelling it after just two minutes of driving. The engine needs to be up to a certain temperature before it will initiate regen. There's a long list of factors that go into determining when a regen will take place. Read this article - but understand it's for the L5P and not the LM2, so many of the numbers won't be the same, but the principal is similar.
https://gm-techlink.com/?p=13566
As
@navyseal334 mentioned - take it for a longer trip. If it wants to do a regen, it will finish it up for sure. That said, I think it's a big miss on GM's part to not include in the DIC a "gauge" similar to the DEF level that shows the DPF filter status. If that was there, you could scroll down to it, see that the bars are full and it's ready to regen. I know GM wants the process to be behind the scenes, but it's valuable information and for the people that don't care they can leave it unchecked and never see it.
I use a Banks iDash to monitor my DPF regen status/cycle and it's helped a few times for me to know that a regen is active and that I should take the back roads home. The regen finishes and then I watch the EGT temps drop down and once they are all back to normal temps I shut off the engine. I hate the idea of shutting it down mid-regen or just after one finished and the DPF is still at 1200F...