When you use a verb as a transitive verb, the phrase "very much" usually goes after the object; we should not use it after the verb. So the correct sentence is:

I like to play volleyball very much on weekends.

When you use a verb as a transitive verb, the phrase "very much" usually goes after the object; we should not use it after the verb. So you usually say:

I like to play volleyball very much on weekends.

However, it's also correct if you use the "very much" at the end of the sentence or before the verb as follows:

I like to play volleyball on weekends very much.

I very much like to play volleyball on weekends.

I think it's unidiomatic to use the "very much" between the verb and the object such as:

I like very much to play volleyball on weekends. The infinitive phrase "to play football on weekends" is functioning as a direct object in the sentence.