I was a subcontractor for Basement Experts / Owens Corning for years. Worked my but off for them. Just a warning for those subs out there considering working for them, in the beginning they pull money from your checks as an insurance policy to make sure you guarantee your work for a year. I can understand that. But once the year passes with no call backs they are to return the money. Its been 2 years and I still haven't seen my $700.00. Beware subs, they'll screw you the same way they do everyone else.

Maybe think of your porch floor a little more like a roof ... I, too, have an old house with incorporated porches (front and back) that sit over top of a full basement foundation (brick with original stucco.) We restored the back porch as a "sunroom" (it was closed in some time in the 30's) and I noted that roofing tar paper was used between the sub floor (plank) and the original T&G porch floor. There are shreds of roofing tar paper hanging on the edges of the bottom of the front porch floor where I can find it, but the old wooden floor was replaced with plywood and then the porch floor was tiled by POs (a bad DIY with 1 inch grout lines that leak like crazy, making my repair job that much more difficult.) The pitch on both porches is good (away from the house) There are low shingled walls all around the porches so water would be trapped without some sort of system to remove it. The front porch uses a pitched trough with 2 exit tubes at the foot of the short wall but I found no evidence of this on the back porch. These 2 devices (the roof paper and the trough) surely would have worked well if they were maintained, alas, the metal trough is rotted thru and leaves/critters were getting into the basement till I discovered the holes and band-aid-patched them till I can address repair of the trough properly. (interestingly, the front porch foundation was hidden behind a finished wall in the basement and was only found when we had a termite inspection done.)

Currently the floor can receive sheet goods - that's it. Carpet, sheet lino or sheet vinyl. The wonkiness of the concrete prevents everything else. To correct the wonkiness, you need to have the paint removed = abatement. Which is something you don't want to do. Mind you, once the abatement has occurred, you can go ahead and have the concrete flattened/dealt with and then you can have ANY FLOOR you want. Whenever you want. For as long as you want. Until then, you can work with "sheet" materials like carpet, lino or vinyl.

First, you double posted this question. Please delete the other one. I do not know if there is a way to fix this problem. I do know that the contractor who did the work should not have scheduled a pour when rain was forecast. They also should have better figured how much concrete was needed so the second truck was there for the other half of the pour. Uneven surface and a bad texturing suggest a lack of experience. You did not get the fix you were promised. You may have to contact a lawyer to give your complaint some teeth. I'm sure you do not want to pay more money to get the job done right, but sometimes there is no choice. This answe should bump your question to the top of list again, so perhaps someone with more concrete experience can explain what can be done to fix this.