The most important thing is gift basket wrapper with paper or things that are biodegradable, or to which you can give them a second use. In reality, it is mainly a matter of becoming aware of where the use of what we are using will go, from the ribbon to the role of China and avoid producing unnecessary garbage. It all comes down to: avoid using plastic things (like curly synthetic ribbon), do not use bows, avoid metallic paper and do not use things that were not used before or that can be used again.
Surely you have out there Christmas bags from last year or some paper bag from another gift that you have made. Reuse it and give it a new life. If you do not have any and you decide to use it again: choose bags of colors and not with Christmas decorations, in this way they can be used on several occasions by other people. Also do not write the name of the person to whom you are going to give it.
Using raw paper reduces the contamination in some way, since it implies that it has gone through fewer processes than papers with decoration and many colors. If you have a way to reuse this paper shopping bags, it will be even better. It ties with strings or ropes, which are less polluting than the synthetic strip and also are more durable. You can complement the decoration with a pine branch or with a small pineapple.