should have been together form a verb phrase but should and have in this example are helping verbs that help the linking verb been, or should have been together can be all helping verbs like when you use it like this: He should have been running this morning but he couldn't get out of bed early enough.
The verb phrase is "should have been."
An auxiliary verb
It is no kind of preposition. It is a conditional past perfect verb form.
um probably kindly (this is adwerb); verb should be to fondle
The complete verb in this sentence is "should have been running."
should have been
The verb phrasal should not be used in formal business writing.
The sentence is "Shelly should have been more careful on the path." The complete linking verb is "should have been."
I think the linking verb is should. Have is the helping verb and should links it into the sentence properly.
The action verb is 'training' or, including auxiliary verbs 'should have been training'.
BE "BEEN" is a verb in the past tense, therefore, the opposite should be the present tense or future tense of the verb "TO BE or WILL BE."
should have been