The first pic, I would say it's male because of its colour. It looks like the wild coloured male honey gourami I had. The female of this colour type is silvery beige with a brown stripe from nose to tail. Stressed males can look like females, but females never look like males. Mature males get a black throat, the fish in the first pic has a silver throat, possibly because it is young it maybe because it is stressed - and it would be a bit stressed if you've just got it. Have a look at the fish in post 3 here http
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/www.fishforums.net/index.php?/topic/34959-gourami-honey/ These are honey gouramis as nature made them.
There are also man made colours, made by selective breeding. These include yellow (the type I have at the moment) and red. Pic 2 looks like a red honey gourami to me. Shops call them fancy names.
In the first post you asked if honey and flame gouramis can breed together. If flame gouramis are a colour variant of honey gourami, then yes they can breed together. But if flame gouramis are a colour variant of dwarf gouramis, then no they won't as honeys and dwarfs are different species. The fish in pic 2, which you've labelled as a flame gourami, looks like a honey colour variant, so if it is female, yes it can breed with the male in the first pic. Can breed, not will breed. That is down to the individual fish.