Actually, Ten Forward would probably be one of the home theater rooms where the recreation of the original feel could be most easily accomplished, IMHO, but I'm getting ahead of myself.
Privately and professionally I'm currently preoccupied with the new Dolby Atmos surround sound system, learning with which speaker placement it will probably work best and evaluating the AV-hardware that's now becoming available. Suffice to say, it's a rather complex matter, especially if you aim for "7.1.4".
Using the occasion I also got myself involved with the improvement of room acoustics (something usually underestimated, apparently / especially in these TNG themed home theatres, way too much reflective surfaces as far as I can tell) but in regard to the acoustic foam sheet candidates, I think it's fair to say that for a devoted TNG fan like myself there can only be one product,
because it has been used as a set decoration on TNG, especially in the transporter room (I think there have been other occasions, but except for
"The Neutral Zone" I can't recall them this moment):
http://tng.trekcore.com/hd/albums/3x26/the_best_of_both_worlds_part1_hd_005.jpg
http://tng.trekcore.com/hd/albums/3x26/the_best_of_both_worlds_part1_hd_421.jpg
Originally, I had no idea what kind of product the TNG set designers used, but finally found it just two days ago:
SONEX
The salesperson at Sonex, apparently a TNG fan, too, told me that the transporter room walls were covered with SONEXOne.
In the above screencap with O'Brien we see the "male" sheets on the left side, while the right side and the transporter chamber are padded with "female" sheets. If I understood correctly and after watching a YouTube video, the sheets come in one double piece that instantly separates into a "male" and "female" one.
And these squares in Ten Forward are SONEX "Spectrum" contour tiles.
To cut a long story short: Looking again at these expensive TNG themed home theatres I have to suspect that the builders had little or no idea how to improve room acoustics (I wonder whether these home theatres actually sound good, regardless of the AV hardware price tags) and apparently no idea either that a product exists, that would give any ambitioned Star Trek home theatre user an "authentic" 23rd century feel.
In case you want to recreate a TNG themed home theater in your own living room or mancave, I think this is a more economic and - at the end of the day - more authentic approach, and it will have the benefit that it could improve the sound quality of your room and thus the perceived performance of your AV system, too.
In a few weeks I intend to post a couple of before and after pictures to illustrate the most welcome TNG touch addition to my home theatre.
I thought mentioning my "find" would be useful to other TNG fans, that look forward adding a 24th Century feel to their rooms and/or home theatres.
Bob