As a middle aged lifter I'm finding that the 2.5kg increase every session is one I'm best off disabling in the app as the lifts get heavier, having started from the bar. I still aim to increase once I'm solid at a level, but the important thing is getting consistent workouts. Getting injured runs counter to that.
You could try something like 5/3/1, which has you generally working at submaximal loads most of the time and only increases the weight every 2-3 weeks. One of Wendler's principles is that slow progress is still progress, something I agree with.
That said, I do agree there should be more flexibility work. The suggested warm ups are also inadequate.