State legislatures don't chose the electors; the parties in the respective states do. Electors in most states are chosen at the state party conventions when each political party’s state convention nominates and votes on a slate of electors. In a few states, electors are chosen by a vote of the state party’s central committee. Electors are usually elected officials or party leaders in the state. Each party’s presidential candidate ends up with their own slate of potential electors. When we vote for the presidential and vice-presidential candidates of a political party, we are actually voting for the slate of electors who have pledged to cast their votes for that party. Since all states except for Nebraska and Maine are winner-takes-all states, all of the electors chosen by the party whose candidate got the popular vote in that state will go to that candidate. The legislatures can't do anything to change the electors. "Faithless electors" are uncommon and have never altered the outcome of an election, and the Trump campaign would have to turn a large number of Democratic electors to change the result.
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