How can I make a game object follow another?

I'm trying to recreate character switch mechanic from sonic mania and i was trying to make it so that the ai one follows the character being controlled. Here's a gif to show what I mean

   GameObject player1;
     GameObject player2;
     public Transform followSonic;
     public Transform followTails;
 
 The lines below are inside Start()
 
     player1 = GameObject.FindGameObjectWithTag("Player");
     player2 = GameObject.FindGameObjectWithTag("Player 2");
     followSonic = player1.transform;
     followTails = player2.transform;

 void AIFollow()
     {
         if (playerSwitch)
         {
             //While sonic is being controlled
 
             if (Vector2.Distance(player2.transform.position, followSonic.position) > stoppingDistance)
             {
                 player2.transform.position = Vector2.MoveTowards(player2.transform.position, followSonic.position, moveSpeed / 1.5f * Time.deltaTime);
             }
         }
         
         if (!playerSwitch)
         {
             //While Tails is being controlled
 
             if (Vector2.Distance(player1.transform.position, followTails.position) > stoppingDistance)
             {
                 player1.transform.position = Vector2.MoveTowards(player1.transform.position, followTails.position, moveSpeed / 1.5f * Time.deltaTime);
             }
         }

I realized that this code just makes it teleport the other character and does not actually move because it does not gain speed by time. I was wondering how I could make it work using the movement code(please lmk if you need me to provide more of the code.)