Sentences with "enable to NOUN to VERB" are not grammatical in English.
The verb enable is transitive, and in the sense of "make possible" it takes both an object and an infinitive.
In the sentence:
Studying different subjects enables students to broaden their horizons.
the object is "students" and the infinitive is "to broaden".
In the sentence:
Studying different subjects enables ∗to students to broaden their horizons.
the "to" as a preposition identifying the person or thing affected is unnecessary, because "enable" is transitive. We usually only need "to" as a preposition when the verb is intransitive and we want to express who or what the verb is affecting. For example:
The teacher spoke to the students.
not
The teacher spoke ∗the students.
With an intransitive verb, we don't have to add the infinitive; "The teacher spoke." is grammatical but "The teacher threw." is not1 because throw is transitive and requires an object.
We can't form an infinitive with a noun like "students" and even if we could, we wouldn't have an object (A noun or noun phrase governed by an active transitive verb or by a preposition.) which the transitive verb "enable" requires.
1. Well, usually. In some contexts the object might be missing because it is inferred from the context. For example,
From the corner of her eye, the pitcher saw a runner trying to steal a base. She spun and threw. “Out!” yelled the
umpire.