Learn Spanish (Latin America): El equipo le suplicó que terminara el rodaje hoy. - The team begged him to finish the shoot today.

When reporting a request or command made in the past (like suplicó, meaning begged), Spanish requires que followed by the imperfect subjunctive. Even though English uses the infinitive ("to finish"), Spanish treats it as a past attempt to influence someone's actions, which triggers the subjunctive.

Why do we use the indirect object pronoun le here instead of the direct object pronoun lo?

The verb suplicar (to beg or plead) takes an indirect object for the person being begged, because you are essentially directing your plea to them. So, we use le (to him/her) to say the team begged him.

Could I say que terminase instead of que terminara?

Yes, you could! The imperfect subjunctive has two interchangeable endings: -ara/-iera and -ase/-iese. Both are perfectly correct, but the -ara form used here is much more common in everyday Latin American Spanish.

I know rodar means to roll. How does el rodaje mean "the shoot"?

In the context of film and video, rodar means to film or shoot (think of "rolling" the cameras). Therefore, the noun el rodaje translates to the filming or the shoot.