You can browse and install extensions from within VS Code.
Bring up the Extensions view by clicking on the Extensions icon in the Activity Bar on the side of VS Code or the View: Extensions command (Ctrl+Shift+X).
input @id:krysenlo.vite-plugin-eslint-problemmatcher in the search box and press the Install button.
You can manually install a VS Code extension packaged in a .vsix file. Using the Install from VSIX command in the Extensions view command drop-down, or the Extensions: Install from VSIX command in the Command Palette, point to the .vsix file.
You can also install using the VS Code --install-extension command-line switch providing the path to the .vsix file.