Generally suppression works well because Falls spammers just a-move them in a blob - just don't leave a maxim by itself because it'll get deathlooped by the blob you'll want something spotting for it and/or drawing fire away from it. M5 with Quad upgrade is pretty good in the midgame too if you're good with keeping it alive. Additionally Falls spam is very manpower expensive so if you can force them to take a lot of damage from mortars/T70 and the like then you'll eventually bleed them dry.
Key is to really not take bad engagements where you let them focus fire down individual units. Just let them A move into your units behind green cover and then pick them apart with suppression and indirect fire.
what do I do about the puma?? Keep it behind at gun???