First three close up looks like what I call crabgrass. I grows from a central base and has multiple shoots. Bright green color. Does not send out runners that send down roots. Crabgrass is a summer annual and dies out in fall/winter. Pics 4 & 5 look like young Bermuda. It should have a blue green color and will send out stolons on top of the soil that will produce roots from every node. Here is a link that might be useful: Bermuda grass / crabgrass

I don't have a lawn, know next to nothing about lawncare and I've never used any herbicide. However, crab grass and nutsedge are both monocots, just like Bermuda Grass. A weedkiller sold for lawns will kill broad leaved weeds (ie dicotyledons) but it cannot kill monocotyledons because that would also kill the desirable grasses. So that is why your Bayer product didn't touch the weedy grass and the sedge.

here are few more photos these are in my backyard. seem like the same plant. 1st one is 7 inches tall and the other 2 photos seems like the same plant but fully matured.

Can't see the leaves at all clearly but the flowers say Brassicaceae. And I'd guess at a Cardamine, maybe C. hirsuta. But I don't know which ones might occur wherever you might be. Which is where?