Could you please check these few sentences. Thank you.

1) I'm forwarding you the link to the European Etwinning certificate of quality.
Online projects carried out between two or more European schools can be eligible to receive both a national (in 2) Our participating students need to cooperate with one another on a common project of their choice (literature, science etc.), exchange information as being part of a virtual class.

Sure! Here are a few corrections to your sentences:

1) I'm sending you the link to the European eTwinning certificate of quality. (Note: "Etwinning" should be capitalized as "eTwinning" and "online" should be spelled with a lowercase "o".)
2) Online projects carried out between two or more European schools can be eligible to receive both a national and European eTwinning certificate of quality. (Note: It seems like a part of your sentence got cut off. I added a correction based on the context provided.)

If you have any further questions or need more clarification, feel free to ask!