As of today the Twins are two games behind Cleveland and three ahead of Chicago. Their prospects for making the playoffs as a Wild Card are pretty small. They trail the three teams in line for Wild Card slots by more than they trail the Guardians. The Twins play Chicago nine times and Cleveland eight times in the balance of the schedule. They would appear to control their own destiny.
I believe the Twins will need to win 22 to 24 games of their remaining 36 and they need to win a majority against both the White Sox and the Guardians. I think it is a tall order, but it is doable.
Here's my take on the roster--additions on September 1. Mahle (technically 9/2 or 9/3) and probably Billy Hamilton. 40-man space could be created by DFAs to Caleb Hamilton and/or Mark Contreras. I'm hoping the Twins can add back some of Buxton, Jeffers, Larnach, Ober, Maeda and Dobnak.