These pouches do look better.
Sadly MP44 pouches have become quite the quagmire (or should I say anything MP44 related). MP43's and MP44's have a premium value ($8000-15,000 for a functional rifle) and almost $3000-5000 for a semi-auto reproduction. Mags sell for $250-500 a piece and any original accessories have become very scare and expensive.
I know a gent who bought a matching un-issued pouch set recently with six original mags for $4000 and that was probably a fair value.
Once problem is that there are not many great references on MP44 accessories. The best three books are "Strumgewehr" (Collectors Pub.), "The German Assault Rifle" (Senich, Palidin Press) and Propaganda Series of books by DeVries has an issue on the MP44 series of rifles. There is detailed information on rifle development, variations etc, but little information on the most common of accessories. Even then most of the pics are black and white and even Senich displays some reproduction items as being original.
The Germans didn't give time to naming the variation of pouches, because the changes variations were generally a result of expediency. The only official differentiation was between the one flapped pouch and the multi-flap pouch. This change was made because during trials, magazines were lost and became dirty with the single flap. These single flap pouches are generally known as Mkb42 pouches. However, from photo evidence that survived the war, most photo's show the single flapped pouch in the presence of MP43's and MP44's.
Nevertheless the multi-flap pouches eventually went into production. There are generally two main variations or types which ATF dubbed the Type I, Late Type I and Type II. The one you have pictured would be a Type I pouch. Type II pouches are almost white with red stripes (probably the most desirable - hard to fake).
There were multiple producers of these pouches. Some marked their pouches and some did not. As these pouches were made late in the war, there were many variations (due to expediency). That was one problem with the MP44 series of rifles, they became a huge logistic problems for the Germans (unique ammo, mags, mag pouches, etc.). I think if a German had an MP44 he would just be happy to have a rifle with ammo, let alone all the accessories. Even in the progressive manuals, they kept cutting down on the number of accessories. The last manual actually only listed one pouch as being issued with each rifle. The late production of this rifle was probably a good thing as it did have the potential to change how wars were fought.
The one thing I like about your pouch is the prestoff (hard to fake but not impossible). Here is a good link to some nice original pictures.
http://www.atthefrontshop.com/searchresults.asp?cat=168e