The parachute would have to be pretty large. According to the link, the descent module had "a fueled mass of 1210 kg, the spherical landing capsule accounted for 358 kg of this." Given the thin Martian atmosphere, you'd need a big chute. The article doesn't mention the parachute size but 100 square meters probably is about right. Finding the chute on the ground would still be tough because the chute would probably end up in a ball of fabric. Odds are it's covered by dust.

The link mentioned retro rockets. You'd need those to perform the deorbit burn. The Russian military has long used a retro rocket system when they airdrop heavy equipment and they use the same system on their Soyuz capsules. As the load approaches the ground, a dangling wire senses when it's the right distance above the ground to fire the rockets. This greatly cushions the landing. It wouldn't surprise me if they used this same technique on Mars 2/3. The article does talk about "the engine to initiate the landing" so that might be the case.

There are few things as wondrous as being suspended beneath a canopy high off the ground. If you don't look up, you can almost get the impression that you're flying like Peter Pan. Of course, military jumps are designed to get people on the ground as fast as possible. All of my jumps were from 1250 to 1500 feet high and I was on the ground within a minute of leaving the plane. The scariest times were on the night jumps with no moon. My night vision never has been very good, so about all I could do was get into landing position and wait for the ground to smack me. I almost never knew where I was going to land. On my last jump, I hit the ground OK but fell in a ditch while walking off the DZ. Damned near broke both of my legs. It was then that I decided to look for another line of work and switched to the Air Force. Something about sending the officers off to do battle...