It is written "ADJACENT TO ANY GREENERY TILE"
Do you confirm it means you can place it near another player greenery and not touching one of your greenery?
Subsequent question : do you confirm I put 2 ressources on this card when placing it (one for the animal tag and one for the plant tag)?
Yes the card specifies that it can be placed adjacent to any greenery, it doesn't have to be yours. You must have a greenery tile on the board however, because that is specified as a requirement to play the card.
Yes you get 2 resources on the card when you play it because it specifies that the triggering tags includes the 2 on the card.