You just described my move order, those are my two main defenses.
1. d4 e6

What do you think of it?
If White plays 2. d4, Black can transpose into a French with d5 (which might be uncomfortable with d4 players used to fully closed games). If White plays 2. c4, Black can play something I find quite interesting: 2. ...c5.
If c4,it turns into Pseudo Benoni,a great defence!

1.d4 e6 2.c4 also allows black to choose a classical Dutch defense with 2...f5. By waiting until the second move to push the f-pawn, as advised by GingerGM (Simon Williams), black avoids some of the anti-Dutch lines.
So if you like playing the black side of the French defense and the psuedo-Benoni and/or classical Dutch defenses, then 1...e6 is the perfect reply to 1.d4.
Disagreed. Larsen had an inventive, uncommon, polished and tasteful form of play. He was one of the best in Scandinavia after Magnus Carlsen.

Had a thread on this just the other day:
https://www.chess.com/forum/view/chess-openings/is-1-e6-a-good-and-flexible-move-against-1-d4
What do you think of it?
If White plays 2. d4, Black can transpose into a French with d5 (which might be uncomfortable with d4 players used to fully closed games). If White plays 2. c4, Black can play something I find quite interesting: 2. ...c5.