Have you tried, 1.d4 e6 2.c4 ?
1.e4 e6 2.d4 d5 3.Nc3 dxe4 for White

The problem with the 3...dxe4 French is that it is very unfrenchlike so the positional ideas are different to the main line French or 3...Nf6 French. I neglect studying this variation.
After 4. Nxe4, does White get an advantage from the opening?
Trysts - Thats a good game, but I'd say Hou outplayed Zatonskih in the endgame.
Ultimateichigo - no I don't play Queen's gambit from either side, I am definately not going to take the White side of Nimzo-Indian either. I don't study Queen pawn openings apart from the Veserov or Blackmar Diemer (usually coming from transpositions).
Firebrandx - I think the position you mention allows Black to equalize nicely. For instance Black can trade on d4, and then Fianchetto the Queen's bishop?
After 4.Nxe4 white is controlling the centre and has a lot of options for piece placement. Black also controls the center but needs an extra tempo to develop his lightsquared bishop.
So I'd say yes, white has an advantage.
I think it is the easiest to play variation for white. Black gives you a centralized knight for free, you have strong center and active pieces.
You just need to play chess.

What I have been doing is to transpose into the Colle system, but I get passive positions where the best I could go for is a draw.

I guess 3...dxe4 French isn't as bad as i thought (at least for White). Is there any difference in structure between this and the Burn Variation?
Ultimateichigo - yeah thats true, but Castling is a very committal move as well.
Roeczak - Exchanging on d5 surrenders Whites first move advantage. I'm looking for a line that conserves the advantage.
Firebrandx 2nd comment - My bad, I didn't see the comment earlier. Anyway I've looked into the positions, and the final position on your line looks pleasant. My problem is, that in French defense I always think Black's light square bishop is a useless piece - this is not always the case. After 8. Ne5, if White can avoid IQP, then he might be in good shape. FYI: Games explorler says 8...a6 is most common (by far).
Position discussed:
I agree that castling is somewhat commital, but at least it's a developing move. Pushing your pawn to c3 is not developping anything and gives up a tempo on developing your pieces. It even takes away a square from your knight on e4. It also weakens the d3 square, but that is not important in this phase of the game.
What i'm trying to point out is the following.
The opening is a battle for the control over the center. For white it is also a battle for the initiative.
You could try to keep that in mind and forget about learning lines.

I agree that castling is somewhat commital, but at least it's a developing move. Pushing your pawn to c3 is not developping anything and gives up a tempo on developing your pieces. It even takes away a square from your knight on e4. It also weakens the d3 square, but that is not important in this phase of the game.
What i'm trying to point out is the following.
The opening is a battle for the control over the center. For white it is also a battle for the initiative.
You could try to keep that in mind and forget about learning lines.
Black should also fight for the initiative, that is quite rewarding in some lines, for example the Marshall Attack, Benko Gambit and the open games. But else quite right, who cares about theory, black has shown almost equality in all big lines. Accept your space advantage and development advantage.
It's a quite solid system. I once drew with black against a player rated much higher than me. But slightly passive, and in the game, white had a slight advantage all the time. I just managed to equalise in the late endgame, quite lucky though.
White should just develope, Nf3, Bd3, Bg5. After Nf6, I usually prefer Ng3!?. When up in space, you should keep pieces. Maybe not enough for theoretical advantage, but I usually end up mating my opponents.
Hi, How do I play against the Rubinstein French? It seems like I face this French more often than other French (at least here on Chess.com). I looked for videos and help online but most of the Rubinstein French guides are for Black players, not White. I also arrive to this position through different move order, 1.d4 e6 2.Nc3 d5 3. e4 dxe4.
What am I supposed to play? Right now, I am thinking of playing 4. f3, and go into a Blackmar-Diemer. or should I quit playing 3. Nc3 altogether and go ahead with advanced variation (3. e5)? Any ideas will be appriciated.