How can I improve my website to a higher score via webometrics rules?

As gheist mentioned, putting up a website is extremely helpful.

But according to the Webometrics website, webometric rankings have nothing to do with a website's design.  The quote below is taken directly from their FAQ page:

Is Webometrics a Ranking of university websites?

       NO!. Web presence and visibility are used as indicators of global performance of a university. These indicators take into account the teaching commitment, the research results, the perceived international prestige, the links with the community, including industrial and economic sectors, of the university.

       Web design is totally irrelevant as all the measurements are related to the contents published (quantity and quality), especially those open access documents of academic interest or relevance.

       Usage statistics related to number of visits and visitors are weak indicators. The motivation and meaning of a visit is not correlated with the quality or usefulness of the contents. Most of the cases the visitors are local, usually the own students of the university, as can be shown in the sudden drops in the temporal distribution of visits during academic vacations. Clearly this indicator is strongly linked to the size of the institution (number of students).

To improve your site, the quality and quantity of the site content is of importance.  So having significant volume and high quality content published to your site is a major plus for your ranking.

I would review the Objectives page (http://www.webometrics.info/en/Objetives) to get a better idea of how the webometric rankings are assessed.

The site also provides a page that contains best practices to improving your University's ranking:  http://www.webometrics.info/en/Best_Practices

In the end, this is not something you alone can accomplish.  This will be a task for you and the University faculty.  They need to give you the quality content to publish, you will have to maintain the site and publish that content in an efficient and effective manner.

Dan