Does ...Rxe3+ work for Black? In the position below, does ...Rxe3+ sacrifice work for Black?
I need concrete lines, that prove your claims, I can not satisfy myself with some rough evaluation.

Thank you. Regards.

[Title "Black to move"]
[StartFlipped "0"]
[fen "2krr3/ppp2ppp/3b1n2/8/6P1/2NPB3/PPP1KPq1/R2Q2R1 b - - 0 1"]

1...Rxe3+
This looks like a 'no engines' question, otherwise ALNS would have just used Stockfish. Be afraid, B-player analysis is happening!


[FEN "2krr3/ppp2ppp/3b1n2/8/6P1/2NPB3/PPP1KPq1/R2Q2R1 b - - 0 1"]

1...Rxe3 2.Kxe3 Re8+ 3.Kd2 Bf4



[FEN "2krr3/ppp2ppp/3b1n2/8/6P1/2NPB3/PPP1KPq1/R2Q2R1 b - - 0 1"]

1...Rxe3 2.Kxe3 Re8+ 3.Ne4 Rxe4+ 4.dxe4 Qxe4+ 5.Kd2 Bf4+ 6.Kc3 Nd5+ 7.Kb3 Qb4#



[FEN "2krr3/ppp2ppp/3b1n2/8/6P1/2NPB3/PPP1KPq1/R2Q2R1 b - - 0 1"]

1... Rxe3 2.Kxe3 Re8+ 3.Ne4 Rxe4+ 4.Kd2 Bf4+ 5.Kc3 Nd5+ 6.Kb3 Qxf2 7.dxe4 Qb6+ 8.Kc4 Ne3+



[Title "White survives, sort of"]
[FEN "2krr3/ppp2ppp/3b1n2/8/6P1/2NPB3/PPP1KPq1/R2Q2R1 b - - 0 1"]

1... Rxe3 2.Kxe3 Re8+ 3.Ne4 Rxe4+ 4.Kd2 Bf4+ 5.Kc3 Nd5+ 6.Kb3 Qxf2 7.a3 Qb6+ 8.Ka2 Be5 9.c3 Nxc3+ 10.bxc3 Bxc3 11.Rg2 Qe6+ 12.Qb3 Re2+ 13.Rxe2 Qxe2+ 14.Kb1 Qxd3+ {After this Black is able to trade the pieces and have a deadly pawn majority on both sides of the board, and an extra piece. Further play was very computery so I didn't post it.} 



[Title "Stockfish calls it a win"]
[FEN "2krr3/ppp2ppp/3b1n2/8/6P1/2NPB3/PPP1KPq1/R2Q2R1 b - - 0 1"]

 1... Rxe3+ 2.Kxe3 Re8+ 3.Ne4 Rxe4+ 4.Kd2 Nd5 {Here's the killer. The knight closes the luft on c3} 5.dxe4 Qxf2+ 6.Qe2 (6.Kc1 Bf4+ 7.Kb1 Nc3+ 8.bxc3 Qb6#) Bf4+ {Now Black strips the Queen's defender} 7.Kd1 Ne3+ 8.Kd2 Nxg4+ 9.Kc3 Qxe2 10.Rge1 Bd2+ 11.Kd4 Qf2+ 12.Kd5 c6+ 13.Kc4 Ne5+ 14.Kb3 Qb6+ 15.Ka3 Qb4#