On what grounds did Henry Cabot Lodge and other Republicans reject the League of Nations?

Lodge objected to including Germany as one of the
members under the covenant.

Acceptance of the League of Nations required a
commitment to the Treaty of Versailles.

The covenant would require the United States'
involvement when the security of other nations was
threatened.

Membership in the League required a significant financial
commitment with limited say in how the money was spent.

Henry Cabot Lodge and other  Republicans reject the League of Nations is discussed below in detail.

Explanation:

Because he didn't require America to be pulled into any other country's battles. If America entered the league of nations then one of the laws being a portion wasany nation that was in the league of nations goes to battle, all nations that are segments are to go to battle and back them. overpowering a nation into conflicts of other nations.

freedom of speech is also protected by the 1 amendment.

explanation:

here is pretty much what the 1st amendment says:

congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble, and to petition the government for a redress of grievances.