John 13:34
"I am giving you a new commandment, that you love one another; just as I have loved you, you also love one another."
John 15:17
"These things I command you, that you love one another."
James 2:18
"If, now, you carry out the royal law according to the scripture, โYou must love your neighbor as yourself,โ you are doing quite well."
1 John 3:23
"Indeed, this is his commandment: that we have faith in the name of his Son Jesus Christ and love one another, just as he gave us a commandment."
Jesus' direction to "keep doing this" regarding partaking of the emblems was to those in the covenant for a kingdom, those who would be kings and priests. Not all Christians have that future assignment.
Just like not all the Israelites of old were to partake of the installation sacrifices, so not all Christians need to partake of the symbols of the contract to be kings and priests. It's not appropriate.
Jesus is the redeemer for all Christians. There is no need for a covenant for that. He already paid. His blood paid for it. The purpose of the new covenant is to provide a heavenly priesthood that will carry out Christ's commands toward those Christians who will inherit the earth.
At Matthew 28 when Jesus said "teach them all I have commanded you" he was talking about Love.