Learn Portuguese (Portugal): O coreógrafo já transmitiu o movimento gracioso aos bailarinos. - The choreographer already conveyed the graceful movement to the dancers.

In Portuguese, the simple past (pretérito perfeito) combined with já is the standard way to express that an action has already been completed. While English frequently uses the present perfect for this concept, Portuguese relies on the simple past.

Does transmitiu literally mean 'transmitted'? Is it natural to use it for teaching a dance move?

Yes, while it translates literally as 'transmitted', transmitir is the perfect and most natural verb in Portuguese for passing on knowledge, a feeling, or an instruction. 'Conveyed' or 'passed on' is usually the best English equivalent in this context.

The direct object (o movimento) comes before the indirect object (aos bailarinos). Is this word order strictly required?

It is the most standard and natural order, but Portuguese is quite flexible. You could say já transmitiu aos bailarinos o movimento gracioso, especially if the direct object were much longer or if you wanted to place special emphasis on the dancers.

Could we place the adjective before the noun and say o gracioso movimento?

Yes, but placing gracioso before the noun makes it sound much more poetic, subjective, or literary. Keeping it after movimento is the standard, objective way to describe the physical quality of the movement.