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You are being provocative, I told you before, that if I had to play that game again, I would play in a more "BDG style" with something like Nxg6 hxg6 Bd3 because I am not totally happy with the middle-game resulting after Be3. If I play a gambit considered like dubious for lot of guys here, and didn't play moves like Bg2 instead of Qf3 that somes consider like better, and continue with an experimental variation with Be3 assessed as =/+ after Nh5 by yourself, and reach an ending with still a pawn down against a more experienced player, is it a shame to draw here?
If the White player on the BDG have not won in the middle game, or have not found a forced winning ending, their last card on the table is the draw if I am still a pawn down, right? And even with the "standard" opening with White, it's not always possible to end with an advantage! Personnally I really like to play the Black piece because I don't believe in a real White advantage, even with the standard openings, if Black is accurate, or a +/= at best, which is really not a forced win, depending of the player's skill on the Black side.

1.d4 d5  2. e4 dxe4  3. Nc3 Nf6  4. f3 exf3  5. Nxf3 Bf5  6. Ne5 e6 7.g4 Bg6 8.Qf3 c6  9. g5 Nh5 10.Be3 Nd7 11.Nxg6 hxg6 12.Bd3 Bd6 13.Ne4 Bc7  14. O-O-O Qe7 15.Rhf1 Rf8 16.Bd2 0-0-0 17.a3 a5 18.Bc4 Nb6 19.Bb3 Rxd4 20.Bxa5 Rxd1+ 21.Rxd1 Nd5 22.Bxc7 Qxc7 23.Kb1 Qf4 24.Bxd5 exd5 25.Qh3+ Kc7 26.Nc5 Qd6 27.Qe3 b6  28.Na6+ Kb7 29.Nb4 Rd8

I have had this move ready for some time, most particularly, before anyone here suggested it.  I do not claim that Black wins, only that all the winning chances are his.

There is lot of interesting responses tonight!!

I will try to respond to some of the questions or remarks.

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I think 19.Ba2 is a little more precise than 19.Bb3 against 19..Rxd4 because Black have not the interesting move a4!?with gain of tempo here, but I think 19..Nd5(!) could be the best move, with the idea to do put a piece on f4 with somes exchanges. And by comparison with 19.Bb3 in this position, I prefer the bishop on b3.

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After 13..f5 I would rather prefer White here, where your king is quite dangerously placed, and mine will castle long. 13..Bc5 could be the best move, as I have already analysed for my own new theory but I will keep it secret for an eventual new match against Markovich in this line.

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That's a very interesting question that I had too, where I gave somes of my ideas in this thread the 07/08

There is a copy and past from a part of what I have said that day : But Leisebein played this position a few times like this : 
1.d4 Nf6 2.f3 d5 3.e4 dxe4 4.Nc3 exf3 5.Nf3 Bg4 6.h3 Bh5 7.g4 Bg6 8.Ne5 e6 9.Qf3 c6 10.g5 Nh5 11.Bd3 Qxd4 12.Nxg6 fxg6 13.Be3 Qh4+ 14.Kd2 Ng3 15.Rhg1 Bd6 16.Qg4 Qxg4 17.hxg4 O-O 18.Rg2 Nd7 19.Rag1 where the games finished with a draw. 
 
The good point for Black of this similar way of play with the pawn on h2 is that White couln't put the queen on g4 here but g3 isn't an hole here. Of course it's still an interesting question I think.

So, ok there is an hole in g3 compared with the same position with the pawn on h2, but it has the advantage of the Qg4! move in somes position, like in the possible main line that Leisebein have played a few times. For this reason, White should not fear fxg6 with the pawn on h3, compared with the pawn on h2. But the final conclusion of which of pawn on h2 or h3 is better, is still unclear. All depend of the presice continuation. Effectively, if the pawn was on h3 now instead of h2 in our actual game, it would favour Black here, but I wouldn't have playing in this way too.

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If White would have nothing to fear about fxg6, then, the move order 10.Bd3! Qxd4 11.Ng6 hxg6 would be the most precise because it's more forceful like you have pointed out. But in my move order to avoid fxg6 after 10.Nxg6 hxg6 11.Bd3; ok Qxd4 isn't forced either, but I don't think 11..Be7 is too dangerous, after 12.0-0 I reach the type of position that I wanted for. I prefer to let 11..Be7 possible than hxg6.

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Yes, 16..e5?! 17.d5! cxd5 18.Nc3 e4 19.Nxd5 exf3 20.Nxe7, etc, and White are better.

29..Nf4?! Shredder 8 main line 30. c4 f6 31. cxd5 cxd5 32. Nxd5 Nxd5 33. Rxd5 Qxd5 34. Qe7+ Kc6 35. Qxf8=

29..Rd8!? This plan, recommended by MNb, seems quite promising 30. Rf1
 
a)30. h4? Ng3-/+ letting knight go out can't be good.
b)30. Re1 c5 31. Qe7+ Rd7 32. Qxd6 Rxd6 33. Re7+ Kc8 34. Nd3 f6 35. Kc1 Rd7-+

30... Rd7 31. Qd3 (31. Qe8?! Qe7-/+; 31.Qe2 seems to be quite similar to 31.Qd3, with possible transpositions) 
31... c5 (31... b5!?) 32. Qa6+ Kb8 33. Nd3 f6!? 
(not 33... Re7? 34. b4 c4 35. Nc5 and white has suddenly even some winning chances with a4 pawn advance)
34. Qb5 Re7 (34... Rc7 35. Qe8+ Kb7 36. Re1 fxg5 37. Re6 Qd7 38. Qxg6 Nf6 39. Qf5 g4 40. Ne5 unclear) 35. a4 Kb7 36. b4 c4 37. Nc5+ Kc7 38. Na6+ Kc8 39. Rd1 Nf4 40. Qxc4+ Kb7 41. b5 Re2 42. Qb4 Qxb4+ 43. Nxb4 Rxh2 44. Nxd5 fxg5 45. c4 and black might have some prospects to win but the position needs to be carefully examined.

@MNb:
After 10.Nxg6 hxg6 11.Bd3 Be7 12.O-O O-O, isn't Black just going to be up another pawn with a superior position?  (g5 and d4 are weak.)

10.Nxg6 hxg6 11.Bd3 Be7 12.o-o with compensation. Pawn f7 is weak and Nh5 is out of play.

Question: in the actual game, was there something against 16...e5 ?

Another intriguing question is, if Black wants the white pawn on h2 or on h3:
5...Bg4 6.h3 Bh5 7.g4 Bg6 8.Ne5 e6 9.Qf3 c6 (there are many, many deviations) 10.g5 Nh5 11.Be3 (11.Nxg6 hxg6 12.Bd3 Qxd4 13.Rf1 and Qe5+ is a disruptive check) Nd7 12.Nxg6 hxg6 and if both players follow the game, after 24...Qf4 (in the game 23...Qf4) Black is better, as there is no check on h3! I have not found deviations for White from move 10, using the pawn on h3 to his benefit.
Does this mean, that 5...Bg4 is more precise than 5...Bf5 ?

@X: 29...Rd8 30.Qe2 (another route to a6) b5 31.Qf2 and square c5 beckons to White's knight, while White has pressure against f7 too.