Portland Timbers finished ahead of LAFC in Group F, while NYC moved through thanks to Thursday's draw between Houston Dynamo and LA Galaxy.
Los Angeles FC were too good for LA Galaxy as Diego Rossi starred in MLS.
LAFC overcame a 3-1 half-time deficit to salvage a point against Houston Dynamo in Group F, and Portland Timbers defeated LA Galaxy.
A clash between Orlando City and Inter Miami will get the MLS season back underway.
Carlos Vela scored again as Los Angeles FC battled to earn a draw with Philadelphia Union.
Inter Miami made their debut on Sunday but the league's expansion franchise left Los Angeles emptyhanded.
Derby County-bound Wayne Rooney was helpless as DC suffered a 5-1 defeat to Toronto after extra time in the opening round of the play-offs.
Carlos Vela shattered the record set by Josef Martinez (31) in 2018 as LAFC ended their regular-season campaign with a 3-1 win.
Carlos Vela took his tally to 31 goals this MLS season during Los Angeles FC's draw with Minnesota United.
Zlatan Ibrahimovic scored and provided an assist as LA Galaxy secured a place in the MLS play-offs.